{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MB-PLS introduction example\n",
    "\n",
    "*This example refers to the* $\\textbf{mbpls}$ *package for Python (https://pypi.org/project/mbpls/ ).*\n",
    "\n",
    "The notebook intends to illustrate how to use Multiblock Partial Least Squares (MB-PLS) regression. To make things easier we are going to use a very simple simulated dataset with two $\\textbf{X}$ blocks.\n",
    "\n",
    "MB-PLS aims at establishing predictive models using latent variable spaces. In addition to PLS, it provides a measure on how much each $\\textbf{X}$ block contributes to the actual prediction of the response $\\textbf{Y}$.\n",
    " \n",
    "\n",
    "## First, we initialize our data simulation by defining the parameters below.\n",
    "Let's start without noise. Once you have run through this notebook just go ahead and increase the noise. It will give you a feeling for the influence of noise on the MBPLS estimation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "rand_seed = 25\n",
    "num_samples = 20\n",
    "num_vars_x1 = 25\n",
    "num_vars_x2 = 45\n",
    "noise = 0      # add noise between 0..10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "from scipy.stats import ortho_group"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate loadings\n",
    "To generate some data we define two loading vectors, which we will utilize to generate data for $\\textbf{X}_1$ and $\\textbf{X}_2$, respectively. As you can see below these loading vectors have different characterstic shapes. Further down, we will refer to these lodings as the \"ground truth\". "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RoqGErIIsWbL9vYjsqKVl2/2QIfHGItEzs/vwla7BZrYY3zmxO4Bz7ufAw8DJwDxgA/D/Eo+tMrOrgZmJl7oqaPAhJa5tA8y/G974Iax/D/rtBQfdBWPPKMwQwqoeMOoj/ta2EZb+Axb+Ht75Kbx7B+z1bdj7AqjpH30sIlIQSsgqhHOqkIlkIhiu2NyshKwSOOdO7+JxB3wjzWN3AXdFEZfEYMtqePsn8NatsHk5DDoYDrgJaj8CFtMqQdW9YPTH/G3tu/DqZTBnOrzzcxh3MezxDajqGU9sIhIarUNWIdasgY0b/b+VkImk1tq67fdE88hEKoRz8N7v4MHdfMIz6EA4/mn44LMw6pT4krGO+u4Kh90LJ77kY5z9PXhoD3j3btjaHnd0IpKHIvkrI1ELkrDqaiVkIukkJ2FKyEQqwIYl8H+nwHOfg757wEkvw9F/h6FH+rldxWjgJDjmH3DcE9BzODz/RXhkX1jyj7gjE5EcKSGrEEEStt9+SshE0lFCJlIhnPOVpb/vA8seh/1/BB94BgbsF3dkmRt2DJzwPBz+B9+A5KmTYNa3oH1T3JGJSJaUkFWIIAmbMgXWrvU3EdmeEjKRCrD+fZ+8PP9Fn4Cd/Crs9Z3M2tYXGzMY8wn/Pez5bXj7Nnj0IGieG3dkIpIFJWQVIkjIJk/e/msR2UYJmUgZc1vhnV/A38fD8mdg8o/huCeh725xR5a/qh6+AclRf4eNS+Efk2He7b4SKCJFTwlZhWhogMGDob5+29cisj0lZCJlakszPPVhmPlVGDQFTn7NdygsloYdYak9GU5+xS9a/cJX4JlPwmatxiBS7MrsL5Gks2QJjBzpb8HXIrI9JWQiZWjdfHjsUFj2mK+KHfsY9KmLO6ro9BoBxzwKE6+HxQ/CIxOh6V9xRyUinVBCViEaGqC21t+Cr0Vke0ES1qOHEjKRstD0jJ9TtXEpHPvPRFWsSLsnhsm6wT7n+9b93WpgxtEw9zoNYRQpUkrIKkSQkO20E/Tvr4RMJJUgCRs9WgmZSMl77zfwxHFQMwA++B/flbDSDDoQTpoNoz8FL18IL57r59KJSFGpjjsAiV5rKzQ1bauO1dYqIRNJpbkZeveGQYOUkImULLcVXr0c5kzzSdjhf4AeA+OOKj7d+/oFpXvXwps/gk2NcMivfSMQESkKSsgqwNKlfpSCEjKRzjU3+wpy//6wZk3c0YhI1to2wHNfgEV/gF3PggN/Ct26xx1V/Kwb7P9DP79s9vmweQUc+Wfo3i/uyEQEDVmsCEHypYRMpHPJCZkqZCIlZuNSePwoWPRHmPRDmHK7krGO9v4eHHwPND0Njx8NGxvjjkhEUEJWEVIlZMuWQXt7fDGJFCMlZCIlasMSeOxIaHkDjvwr7H1eZTTvyEX9/8BRD0HLW/DYYbD23bgjEql4SsgqQJCQBS3vR470yVijLoyJbKelZVtC1tISdzQikpGNS2HGMbBpGRzzGIz6SNwRFb+RJ8FxT0DrGr8kwKrZcUckUtGUkFWAhgaoqfELQ8O2SpnWIhPZXnMz9OvnE7ING3xDHBEpYhsbYcZxsLEBjn4EhhwSd0SlY/BBcPwz0K2nH+rZ9H9xRyRSsZSQVYBgUehg9IbWIhNJLRiy2C8xz11VMpEitmm5b2u/fiEc/TAMPTzuiEpP/738WmW9R8FTH4aVs+KOSKQiKSGrAMEaZAElZCKpJc8hC74WkSK0aYVPxtbNh6P/BkOPjDui0tW7Fo59DHoMgqdOhOY34o5IpOIoIasAHROyoUOhqkoJmUiytjZYv14JmUjR27wKnvwArH0HjnqwMhd8DlvvWjj2cbDu8MQHfNVRRAomo4TMzL5jZnPM7HUzu8/MekYdmITDuR0TsqoqGDFCCZlIsmB4ohIykSK2ZbVPGJrnwhF/geHHxx1R+ei7KxzzKLSt9++xWuKLFEyXCZmZ1QLfAiY758YDVcBpUQcm4Whu9s0JkhMy0FpkIh0FyZcSMpEitaUZnjgBml+DI/4MI0+IO6LyM2BfOPrvsKEBnjwBtqyJOyKRipDpkMVqoJeZVQO9AfXnKxEd1yALKCET2Z4SMpEitrUV/vUJWD0bDv8j1J4cd0Tla8ihcMSfoGUuPP1haNsQd0QiZa/LhMw51wDcCLwPLAWanXP/jDqwcrd4MUyYAO+9F+1xOq5BFhg5UglZmE48EX7607ijkHwoIatMZnaimb1lZvPM7MIUj99kZi8nbm+b2Zqkx9qTHnuwsJFXEOdg5tehcQYcdIfWGSuEkSfAoffCiufgX5+E9i1xRyRS1jIZsjgAOAWoA0YCO5nZ51Lsd7aZzTKzWcuXLw8/0jLz0kvw+uvw739He5zOKmQtLbBuXbTHrwQbN8Kjj8JFF8GqVXFHI7lSQlZ5zKwK+AlwErAPcLqZ7ZO8j3PuO865ic65icBtwJ+SHt4YPOac+2jBAq80b/4Q3r0Dxl0M9V+IO5rKMeaTcOAvYOkj8Nz/wNb2uCMSKVuZDFk8HnjPObfcOdeKPxkd2nEn59ztzrnJzrnJQ4YMCTvOstPU5O/nz4/2OMHizx0rZFocOjxLl/r7lha47rp4Y5HcJSdkNTXQs6cSsgowBZjnnJvvnNsC3I+/AJnO6cB9BYlMvEV/gdkXwJhPwb5Xxx1N5dntLJh4Pbz/e3j5+3FHI1K2MknI3gcONrPeZmbAcYAWqchTkJAVYsjiwIHQq9f227UWWXiC97CuDm67TUluqUpOyIJ7JWRlrxZYlPT14sS2HZjZLviRIk8kbe6ZGBnyHzM7NbowK9SqF+HZM2DQFDj4HjCt1BOLfc6H3b/hK5Xv/TbuaETKUiZzyJ4H/gC8BLyWeM7tEcdV9hoT3WSjrpB1bHkfUEIWnuA9vOUWaG2Fa66JNx7JjRIy6cJpwB+cc8njtnZxzk0GPgvcbGa7pnqihvTnYMNiePoj0GMwHPlXqO7V9XMkOgfcBEOPhufPgpUz445GpOxkdLnJOXeFc24v59x459znnXObow6s3BVqyKISsugF7+ERR8CXvwy//GX0P1cJX3OzH6ZYU+O/VkJWERqA0Ulfj0psS+U0OgxXTDS9wjk3H3gKmJTqiRrSn6XWdfDUh/390X+DXsPijki6dYfD/xd6DYf/OxU2Lo07IpGyovp/TIIKWUMDbI4wvU2XkPXpA/36KSELQ0MD9O7tP8Bfeil07w5Tp8YdlWSruXlbdQyUkFWImcDuZlZnZjX4pGuHbolmthcwAHguadsAM+uR+Pdg4DBgbkGiLmdb2+Hfp/u1xg5/AHaeEHdEEuiZqFZuWeOXIGjXtXmRsCghi0lTE5j5br4LF0ZzjNZWn/ilSshAa5GFJUh6zXzzlHPOgd/+1nfRlNLR0uIvUgT69/fbpHw559qAbwKP4udGP+Ccm2NmV5lZctfE04D7nXMuadvewCwzewV4ErjWOaeELF+zz4clf4MDboWRJ8YdjXQ0YD845B7fDn/m1/2HGBHJmxKymDQ1wT6J5spRNfZYtsz/rezYYTGgtcjC0dCw/Xt8wQXQty9cdll8MUn2VCGrTM65h51zezjndnXOTUtsu9w592DSPlOdcxd2eN6zzrkJzrn9Evd3Fjr2svPu3fDWTbDHt2CPb8QdjaQz5pMw/jKYfxe8/eO4oxEpC0rIYtDWBitWwMEH+6+jmm+Ubg2yQG2tOgKGoeOw0EGD4Pzz4S9/geefjy8uyU7HhKxfPyVkIgWz5jWY9XUYdgzs/8O4o5GuTJgKtR+Fl74Dy57ocncR6ZwSshisXOkrV/vtBz16RFchC5KtzhKypUth69Zojl8JnPPvc8f3+NxzYcgQuOSSeOKS7KWqkK1bB+1aC1UkWq1r4ZlPQfed4dB7oVt13BFJV6wbHPob6Len/9mtUycrkXwoIYtB0NBj+HC/dlWcFbK2tm0dHyV7K1fCli07vsd9+8LFF8OMGf4mxS9VQgaaRyYSKefghbNh7Ttw2H2+i5+Uhu794MgHAQdPn+K7YopITpSQxSBIgIYNiz4h694dBg9O/bha3+evs6T3q1+F0aN9YqZ5z8UvXUKmYYsiEZr3C1h4P+x7NQw7Ou5oJFt9d4XDfg/Nc+DFc+KORqRkKSGLQZCQDR0K9fXRDVkMmk10S/NTVkKWv84Ssp494Yor4IUX4MEdGmlLMWlvh7VrlZCJFNSql+DFc2HEibDPhV3vL8VpxAdg/KUw/1ew4N64oxEpSUrIYhAMWRw61FfI1qyB1avDP066NcgCSsjy19Ww0C98AfbYw88l01yk4rV2rb9XQiZSIFua/dyjnkPhkN/4OUlSusZfDkMOhxe+CmvfjTsakZKjv4AxaGqC6moYMMBXyCCaKllXCdmwYb56poQsd8F7N2JE6serq+Hqq2HOHLjvvsLFJdkJki4lZCIF4Bw8/0VY/74f7tYzzbh6KR3dquHQ3/n7f58G7VvijkikpCghi0Fjo6+OmfkKGYQ/j8y5HdfH6qiqyjcWUUKWu4YG/7Ps3j39Pp/8JEyaBJdf7huASPFRQiZSQG/dCov+BBOvhSGHxh2NhGWnMXDQnbBqFryqFsMi2VBCFoOmJl+dgugSspYWWL++8woZaC2yfHVVhQRfhZw2zVdB79TSsUVJCZlIgaz4D8z+How6BfY6L+5oJGyjPwa7fw3euBGW/CPuaERKhhKyGDQ1+aoK+A99gwaFP2Sxq7lNgdpaVcjykWoNslROPBEOP9wPX9ywIfq4JDtKyEQKYMtqeOYz0HsUHHy3HyYi5WfSD2HnCfCfL8DGZXFHI1ISlJDFIBiyGIii9X1Xi0IHlJDlJ5MKGfjPHdOn+4W4f/zj6OOS7KRKyHr2hJoaJWQioZn5Tdi4BA5/AGoGxB2NRKW6Fxx2v1/w+7nPg9sad0QiRU8JWYE5t/2QRYim9X02FbI1a1S1ycXmzbBiRWYJGcARR8BJJ8G11+pDfrFJlZAFX+tnJRKChQ/Awnt9N75BB8YdjUSt/z5wwC2w7HF444a4oxEpekrICmztWti0accK2YIF4bZFzyYhS95fMpdpFTLZtGl+iYMbb4wmJslNS4u/79dv++39+297TERytGEJzPwqDDoIxl0UdzRSKLueBWM+Ba9cCiuejzsakaKmhKzAgkWhO1bIWlvDTYoaGnxb/V69Ot9PCVnuMk16k02aBJ/+NNx007b/CxK/5mbfKbNnz+23q0Imkifn4PkvQfsmOOTXvi26VAYzmHI79K71rfBbdXVLJB0lZAUWfAhPrpBFsRZZpnOblJDlLpeEDOCqq3yV9Ac/CD8myU1zs0++OvYYUEImkqd5v4Cl/4BJN0C/PeKORgqtZmc49D7Y8D7MPj/uaESKlhKyAmts9PcdhyxCuI09ulqDLBDso4Qse8F7lsn7nGzPPeHMM+GnP4X33w89LMlBkJB11K+fEjKRnLW8Ay99F4Z/EHb/etzRSFyGHAJ7fQ/m3Q5L/xl3NCJFSQlZgaUasjhmjF+rKo4KWb9+0KeP1iLLRUODH+I2IIdmYZdf7u+vuircmCQ36RIyVchEcrS1zbc971YDB9+lFveVbt8rod/efvjqFv1RFelICVmBBRWyIUO2beveHUaPDq9C1tbmj5PpUDq1vs9NsAZZLp8zxoyBr38d7r4b3nor/NgkO0rIREL2xvWw4jk48Kd+DpFUtqqecMg9sHEpvKQFwUU6UkKGn3P8+9/D8uXRH6upyVdUamq23x5m6/vGRti6tXITslmz4OWXoz9OplXIdC66yDddueyy8GKS3HSWkK1d63+fRCRDq2bDq1fAmM/A2NPjjkaKxaADYZ/vw/y7oOHhuKMRKSpKyIBHH4XTToO77or+WE1N288fC9TXh1chy7bZRLklZN/4BnzrW9EfJ9+EbOhQOOss+NOffFVT4tNZQuacT8pEJAPtm/xiwD2H+uqYSLLxl0P/8fDCl2HL6rijESkaFZ+Qbd0KF1/s/714cfTHa2xMnZDV1cGyZeEs0JxLQrZkSflUAZYuhXffjfYYzuWfkAHsu69ff27RonDiktx0lpAFj4tIBl65FJrnwEF3QY+BcUcjxaaqBxzyK9jUCC9+O+5oRIpGxSdkf/wjzJ7tm2oUokrU1LR9Q49A0PoYgs41AAAgAElEQVR+wYL8j5FLQtbWVpghm1Fzzr/HS5bAxo3RHWfVKti8Of+ELPi5h9lhU7Kzdatf/FkJmUielj8Hb/4Idv8ajDwh7mikWA08AMZdDO/9GhY/FHc0IkWhohOytjY/f2fcODjmmMIlZOkqZBDOB/OGBqiu3r5xSGfKaS2ylhafKEE4yW06ua5B1lEUSx5Idtat84m8ErLKZWYnmtlbZjbPzC5M8fiZZrbczF5O3M5KeuwLZvZO4vaFwkZeRNo3wwtnQe/RMPH6uKORYjfuUth5X3jhbNi8Ku5oRGJX0QnZr3/tO9xdc43vchh1QtLa6isrnVXIwmjs0dAAI0b4ql8mymktsmBZAQh3GYGOcl2DrKNRo3zyHGWs0rkg2VJCVpnMrAr4CXASsA9wupntk2LX3zvnJiZudySeOxC4AjgImAJcYWY5LIRRBuZeC81zYcrPoXufuKORYldV47subl4BLxZg0rdIkavYhGzzZpg6FaZMgVNO8R+sly3z83miEgwJTFUhGzIEevcOr0KWTeUm2Lcc1iJLTsiirDoF71W+FbKqKhg7VhWyOCkhq3hTgHnOufnOuS3A/cApGT73BOAx59wq59xq4DHgxIjiLF5r5sCcaTD2DBh5UtzRSKkYMBHGXwYLfgeL/hx3NCKxqtiE7Oc/940Upk/360jV1vpkLFgnLArBa6dKyMzC67SYbUI2fHjh5tBFLfnnVwoVMvDDFlUhi48SsopXCyS31Vmc2NbRJ8zsVTP7g5mNzvK55WtrOzx/FnTvB/vfFHc0UmrGXQQDJsHMr2roolS0ikzI1q2DadPg2GPhuOP8tkLMowqqN6mGLEJ4a5EFCxZnqrrax1QOCVnwHg8cGG3VqaHBVzU7rieXizCXPJDsBclWv347PqaETBIeAsY65/bFV8HuyebJZna2mc0ys1nLy6F7UrJ3fgYr/wP73ww9M5y4LBLo1h0Ovgs2r4SXd5i+KVIxKjIhu+UWP3xw+vRt2woxbC9IFlJVyMBXSubP9w0GcrV2rb9lO5SuXNYiCypkU6ZEn5DlO1wxUFcHK1Zorau4tLT4+1QVsl69/AWLYB8pSw3A6KSvRyW2/ZdzbqVzLtEuiDuAAzJ9buL5tzvnJjvnJg/JtNtSKVj/PrxyEYw40Q9XFMnFgImw13fg3V9C07/ijkYkFhWXkK1aBTfc4OeNHXTQtu2FqJAFyUJnFbL16/2H81zl2v2vXBKypiYYNAj22MNXG/NJbjsTZkIWZkMXyV5nQxbN/HZVyMraTGB3M6szsxrgNODB5B3MbETSlx8F3kj8+1Hgg2Y2INHM44OJbeXPOZj5NcD5Rh5mcUckpWzCVNhpF3jhK75jp0iFqbiE7Prr/dXua67ZfvvQob7BQtRDFnv0gL59Uz8eRgt0JWT+Z1lX5ytOK1dGc5woEjINW4xHZwkZ+KGMSsjKl3OuDfgmPpF6A3jAOTfHzK4ys48mdvuWmc0xs1eAbwFnJp67Crgan9TNBK5KbCt/C++DJQ/DvtP8B2mRfFTvBAf+DFregLlaNkEqT3XcARTS0qVw661wxhkwfvz2j1VV+VbxUVfIhg5NfyEx+YN5cvUuG/kkZKtX+8WUe/XK7djFIHiPk6tOgweHe4zNm/2Q1zCHLIIqZHFpbva//717p35cFbLy55x7GHi4w7bLk/59EXBRmufeBdwVaYDFZtMKePFcGHQQ7PHNuKORcjHyJBjzGd+xc5fPQL894o5IpGAqqkJ2zTV+LbCpU1M/HnWVqKkp/XBFCOeDea7d/8plLbLgPY6y6rR0qb8Po8MiwIAB/kO/KmTxaG7273+6CyVKyEQ6eOk7sGUNHHQHdKuKOxopJwfcDFW9fNfFqOYciBShiknI5s+H22+Hs86CXXdNvU8hErJ0DT3AX6EfNiz/IYv9+8NOO2X3vHJZiyyokI0d67+OIskJaw2ygNm2hi5SeEFClo4SMpEkS/4BC37r25XvPL7r/UWy0Ws4TLoOGp+E934ddzQiBVMxCdmVV/puaZddln6fkSOjH7LYWYUM8m99n+vcpkI0NYnali2wZo1/j/v08YlZFMMAcx0W2pmwljyQ7CkhE8lQ2wZfuei3F4y7JO5opFztehYMOQxmf9cPjxWpABWRkM2ZA7/5DZxzTufDzGprfcOPdevCj8G5ritkkH+lpJITsmB5n+A9jqrqFEVCFiwOrREahaeETCRDc6bB+oVw4M+hqkfc0Ui5sm5w4C+gtcUnZSIVoCISsssu850Nv//9zveLctjemjV+/lpXCVl9PSxa5PfNRbaLQgf69fPDHEs5IQuWFQje46iqTg0NvlvmwIHhvWZ9PWzaBMuWhfeakplMErKWFiXLUuFa3oI3boCxn4dhR8UdjZS7ncfB3hf4YYvLZsQdjUjkyj4hmzkT/vxn+N73/PpUnYmyShQsCp3JkMX2dp+UZau93X+gzyUhMyv91vcd3+P6eli4ENrawj1OUIUMc9kdtb6PTyYJ2dat0VTORUqCczDzG1DVGybdEHc0UinGXQJ9doMXvgrtm+KORiRSZZ+QXXyxb3v+7W93vW8hErJMhixCbh/MGxt9UpbrULpST8g6Vsjq6nJPbjsT5hpkAbW+j08mCVmwn0hFev8BaJwB+02DXl1cVRQJS3Uvv+j4unnw+rS4oxGJVFknZE88AY8/7pOydIsxJ4syIQuShUwqZJDbB/N85zaVekKWqkIG4Sc5USRku+ziK26qkBWWc344ohIykTRaW3yb+wH7w25fjTsaqTTDj/PDZN+4DlrejjsakciUbULmnE/ERo2Cr30ts+f06ePnUsVZIauthe7dc/tgnusaZIGRI/0ctK1bc3t+3Jqa/KLWQcv/fKqN6Tjn3+ew1iAL9OzpX1MJWWGtX++rqErIRNJ4dSpsXAYH/lRrjkk8Jt3g1yZ78VuazCtlq2wTsoceguefhyuu8B92MxVVlaix0VdABg/ufL+qKl8tiatC1toKK1fm9vy4BWuQBXO7Ro3ySx2EWSFbs8Y33wi7QgZqfR+HIMnq1y/9PkrIpGKtfhXevhV2+zIMPijuaKRS9RoGE66CpY/C4r/EHY1IJMoyIdu6FS65BHbfHc48M7vnRrUWWVOTbypSXd31vrm2a29o8AldV1W4dEq99X1T0/ZDQqurfXIbZtUpipb3gfp6VcgKraXF32dSIQv2FakIbivM+jrU7Az7TY87Gql0e3wDdp4AL37br4cnUmbKMiG77z54/XW4+urMEqBkUVXIMlmDLJDrB/OGBhgxwidluSj1hCyokCULey2yKBOyujr/+ps3h//aklpQ9dKQRZEO3vs1LP83TLweenTRolgkat2qYfKPYcP7MOcHcUcjErqMEjIz29nM/mBmb5rZG2Z2SNSB5aq1FS6/HPbbDz71qeyfX1sLS5eGP4+qsbHrhh6B+no/bDDbK/K5rkEWKPWErGOFDMIfBhh1hcw536pfCkMJmUgKm1fB7Atg8CFQf2bc0Yh4Q4+EsWfAG9fD2nlxRyMSqkwrZLcA/3DO7QXsB7wRXUj5uesuXxGZNg265VD/q631k/yDJhxhyaZClmsL9Hy7/w0f7udflWJC5lzq97iuDpYvD28NqXwbp3QmiiYk0rlMErKddvJ/S5SQScV45RLYshIO/BlYWQ6kkVI16Qbo1gNePFcNPqSsdPmX1sz6A0cCdwI457Y459ZEHVguNm6Eq66Cww6Dk0/O7TWiqhKlGk6XTq7t2vNNyLp39xWmUkzIVq/2C0B3fI/Dbn3f0OAbs/ToEc7rJYuqTb+kl0lCZuabfighk4qwcibM+wXscQ4M2C/uaES212sETJgKSx6GhofijkYkNJlc+qoDlgN3m9lsM7vDzHaKOK6c3H23H7Y3ffq2TnvZiiIh27TJDz/MdMhiLpWSdev8MfKt3ETV1CRqHdcgCwRJTlhVpyjWIAsMH+47gqpCts3998Pee/uqdRQySciCx5WQSdlzW2HmN6DnMJhwZdzRiKS25znQf5yvkrVtjDsakVBkkpBVA/sDP3POTQLWAxd23MnMzjazWWY2a/ny5SGHmZmHH/adFY88MvfXiCIhC96OTCtkAwb4D4DZfDAPa25TqS4OHSy8nWrIIoSbkEUxXBH8sLixY1UhS/bss/Dmm7BiRTSv39zs3/c+fTrfTwmZVIT598CqmX5YWE0XVylE4tKtO0y+DdYvgLnXxR2NSCgyScgWA4udc88nvv4DPkHbjnPudufcZOfc5CFDhoQZY0ZaW+Hpp+G44/J7nWHD/Ae0MJOSIFnItEJmln0zijATsiVL8nuNOKSrkA0c6IebhZXk5Ns4pStqfb+94P912HM6A83N/v9HVxV1JWRS9rY0wysX+kYeY8+IOxqRzg07BsZ8BuZeC+t00pTS12VC5pxbBiwysz0Tm44D5kYaVQ5eeMEP2zv++Pxep6rKDx0LMyELPkxmsz5Ytu3aw0zIVq70wyxLSbr32Cy81vetrf44USZkYbfpL3WFSMi6Gq4ISsikArx+NWxaDgfcmvuYf5FC2v9G3w7/xW/HHYlI3jJtn3QO8DszexWYCBTdKpEzZvhzyDHH5P9aYQ/byyUhq6+HBQsyb78fZkIGpVcla2z0lc1BKZbLCav1/dKlvqlT1BWy5mbfpES2/b8OqsxhU0ImAjS/CW/dArt+EQZNjjsakcz0HgXjL/fNPRr+Hnc0InnJKCFzzr2cGI64r3PuVOdc0X1cnDEDJk3yQ9TyFfawvWyHLIKvlGzaBMuWZbb/kiV+6FVXc2G6UqprkTU1+e6HqRbFDoYB5tshN8o1yAJhNyEpZe3tPgkGVchEIuMcvPQdqO4N+xXdtVaRzu35bei3l6+StW+OOxqRnJXFAiPr18Nzz+U/fywQRYWsd2+/nlGmsm2BHlb3v1JNyDpbViDb5DadQiRkua5BV46WL9/WXbFYKmRa9kbKzpK/w9J/wPgroGcWwzhEikFVDex/E6ybB2/dGnc0Ijkri4TsmWf8/J4wE7I1a2DDhnBer7Exu+oYZF8pqfSErLOFt8Na36uQCZkqZNv/HyyGCll7e3h/E6R4mNmJZvaWmc0zs1QdhM8zs7lm9qqZzTCzXZIeazezlxO3BwsbeQjaN8OL3/EVhj2+GXc0IrkZeSKM/JCfB7kxoqt3IhEri4Ts8cehpgYOPzyc1ws7KeksWUhnl138nLhsErIw2rH37w+9epVmQpYu6Q0ryWlo8P/PUs1TC0u/fv71lZBt+z9YXR19l8WuBEmbhi2WFzOrAn4CnATsA5xuZvt02G02MNk5ty++y/D1SY9tdM5NTNw+WpCgw/TWLb6ysP/NvtIgUqr2/xG0b4RXL4k7EpGclEVCNmMGHHJIdkMCO1MMCVmPHj6OTKo6wVybMCo3ZqW5FllnQxbHjvX3YVTIRo6MvgFZWE1ISl3wf3CffaIZsuhcdhUyUEJWhqYA85xz851zW4D7gVOSd3DOPemcC2qj/wFGFTjGaGxc6isKtR+BkSfEHY1IfvrtAXueC+/eBateijsakayVfEK2ciW8/HJ4wxUh/IQslyGLkHkL9KYmn5SFNZSu1NYi27gR1q5N/x737OkTqXyrTlGvQRbQWmReQ4PvnDlhQjQVsk2boK0tu4SspSX8OCRWtcCipK8XJ7al8yXgkaSve5rZLDP7j5mdGkWAkXn5Qti6xVcWRMrB+Mugx2B48VxN+JWSU/IJ2ZNP+t+7MBOyYOhfGAnZ1q2+OUG2FTLIvFIS9tymUquQZbKsQBhJTljz9LpSVwcLF25raFGpGhr8moAjRviLGmGfX4Nqlypkkgkz+xwwGbghafMuzrnJwGeBm81s1zTPPTuRuM1avnx5AaLtworn4b1fw17nQd/d4o5GJBw1/WG/abD8GXj/gbijEclKySdkM2b4Vu8HHhjeawbt48NISlat8h+sc62QNTR0vUhzFAnZkiWlc4Ep04Qsn2GAzhUuIauv901qSikpjkLwfg8b5n8H1q0L9/WVkAnQAIxO+npUYtt2zOx44BLgo865//bWds41JO7nA08Bk1IdxDl3e2LpmMlDhgwJL/pcuK0w6xzoNQLGXRxvLCJhq/8iDJgIs8+HNnVhktJRFgnZ0UdD9+7hvm5Yw/ZyWRQ6UF/vE4GFCzvfL4qEbPNmPxy0FGSyzltdHSxe7L+vXDQ3+w57haqQgYYtBglZ8LsT9rDFbBKyoPGHErKyMxPY3czqzKwGOA3YrluimU0CfoFPxpqStg8wsx6Jfw8GDgPmFizyXM2/B1bNhInXQ/e+cUcjEq5uVXDALbBhEbxxY9zRiGSspBOy99+Hd94Jd7hiIKxhe/kmZNB1ZWfJEr8gci5VuFRKrfV9phUy5/z/mVwUouV9IKw2/aUumLMX/L8Ou7GHKmTinGsDvgk8CrwBPOCcm2NmV5lZ0DXxBqAP8L8d2tvvDcwys1eAJ4FrnXPFnZC1roVXLoZBB8PYM+KORiQaQ4+EMZ+CudfC+kVd7y9SBKrjDiAfM2b4+6gSsqefzv91MqnepJNppSSYa1NVlf0xUklOyPbbL5zXjFImCVnye7n77tkfo5AJ2ejR/mdZyRWyDRv8WoDFUiHr29d311RCVn6ccw8DD3fYdnnSv49P87xngQnRRheyudfBpmVw5F+ibxcrEqeJ10PDQ/Dy9+Gwe+OORqRLJV0hmzHDf1gbPz781w6GLG7dmt/r5FMhGz7cdwjsqlIS1hpkgTCbmhRCY6Of89e7d/p9sl1ou6NCJmTdu/ukrJIrZMnvd/C7E2eFrFs3n5QpIZOStX6hH8I19gwYfFDc0YhEq89Y2Pt8WHgfLP933NGIdKlkEzLnfEJ27LHRXOirrfUtsfNtiNXY6D/M5bKYcLdufg2tTCpkYSYKI0Zse91SkMk6byNG+LXdck1ygvmEwXsTtUpvfZ+ckAU9EOKskAX7KSGTkvXyhWDdYL8fxB2JSGHs833oVZtog5/n1XWRiJVsQvbGG7BsGRyfcjBJ/sKaR9XU5D9Qdsvxnc7kg3nYCVlNjU9wSmUtskzWecs0uU2noQEGDoRevXJ7frbq6lQhA///uqYGBgyIJiEz85WvTCghk5K1/FlYeL+vGOw0uuv9RcpB9U4w8TpY9aJvZiNSxEo2IXv8cX8fxfwxCG/YXibVm84ECVm6FvTr1/sPiWEPpSultcgyfY/zaX1fqJb3gfp6f8FhQ4V27Q3+7wW/h8OGRTNksW/fzC+WKCGTkuS2wkvfgV4jYZ8L4o5GpLDGftY3sXn1EmgNee0UkRCVbEI2Y4b/0Dp2bDSvH1aFLJPqTWfq6qClBVavTv14VHObSi0hy+Q9rqvLr0JW6IQMKrdK1tDg5wUG7eaHDo2mQpbpcEVQQiYlasF9sPIF2G+6rxiIVBIzOOAm2LgU3rg+7mhE0irJhKytDZ56KrrqGPiGGt265T9sL4wKGaT/YF7pCVl7u5/nl2mFbM2a9MltZwqdkAVdISs5IUt+v4cOjaZCpoRMylrbBnjlQhh4ANR9Pu5oROIx+GDY5TTf1EZt8KVIlWRC9uKLvmoUZUJWXe2rLsVQIYP0lZ0gYYwiIVuxIveFlAtl1SrfCTPThAyyT3JaW/3PMY4KWaU29uiYkA0bFk2FLKjAZUIJmZScN26EDYth/5t8Qw+RSjXxWj9895WL445EJKWS/AsdrD927LHRHiffKtH69f6WT4Wsq0pJlBUyKP7GHtms85bpum4dLVvm5/AVMiEbPBh22qlyK2TBotCBoUN98t3aGt4xcq2QpZvPKVJUNjT4dcfGfAqGHhF3NCLx2mkX2Os8WPBbWPFC3NGI7KAkE7LHH/cLFgftsKOSb0IWtMzPJyHr18+3zE+XRARzbTLtFJepUlmLLJt13nIdBljINcgCZpXb+n7r1h0TsiDhzncZimQtLdknZK2txV81FgF8JcC1+S5zIgLjLoKeQ2H2ebqyJkWn5BKyjRvh2WejHa4YyDchy6Z605nOPphHNbcprKYmUQsSskze4/79fev6bJOcoEoY5uLbmajUhGz5cj9PtGOFDMIdtphLhSx4nkhRWzkL3vu1rwj0qYs7GpHi0L0v7HuNXyh60R/ijkZkOyWXkP373/4KdaESstWrfRKYi2yqN53prF171AlZqQxZzPQ9ziXJiaNCBtvWIqu0C3mp3u/g5xtmYw8lZFKWnIOXvu0rAeMuijsakeJS/0XYeQLM/j60b4o7GpH/KrmEbMYM33DjyCOjP1a+w/bCqpDV1cHChb6jYEdRJWQDBkDPnvlXyF58Ee69N5yYUmlqgqoqH28mclmLrKEBunf387oKqb7ez0EMc5heKei4Bhls+x0Kq0K2ebO/lXpCtngx3HSTH+YpAvgr/8v/7SsB3bPoWiNSCbpVwf4/gvXvwVu3xh2NyH+VZEJ28MF+3lTU8h22F3x4zHeuW329n7vSMY6tW2Hp0mgSMrP8h2y2tcHpp8OXvxxdlaex0VdPMl3ct64OFixIndym09Dgk4NMjxGWSm1931mFLKyELEiqsknIgo6MxZSQ3XknnHcePPBA3JFIUWjf7K/87zzBVwJEZEfDj4eRH4Y502BTyO17RXJUUgnZ6tW+4lKI4YqQ/7C9pibfbKNXr/ziSNcdsKlpx7k2Yco3IfvVr+Cdd2DDhvBblgeyXectSG6z+ZkWeg2yQKW2vm9o8Mnv8OHbtvXt6yu2YQ1ZzCUhK8YK2Wuv+fvLLgu3A6WUqLdv81f+9/+RrwSISGqTbvDr9L16RdyRiAAllpA99ZSvChU6IctnyGK+wxUh/QfzqNYgC+STkG3aBFde6Vu3Q3RVnqam7N7jXFrfx5WQjR3r7ysxIRs2zA9NDpj5xDvOClmxJmTDhsG8eXDPPXFHI7HatAJevwZGnuwrACKSXv+9YPevwbu3w5o5cUcjUloJ2YwZ0Ls3HHRQYY7Xr59PKPIZsphvQw+A0aP9PKmOSU3UzSaChCyX4YY/+5mf33Lttf7rqJKKYMhiprKtOjkXX0LWu7evElXakMWOLe8DQ4eqQpZs40afiH3lK34Y95VX+gshUqFevxLa1vkr/yLStQlXQHU/mP3duCMRKb2E7MgjoaamMMfLdx5VWBWy7t19UtYxiUjV/CBMI0f6xgerVmX3vLVrYfp0X8n8YmIaQ5QVsmwSsjFj/HC4TONpafGNNeJIyKAyW9+nS4CHDdMcsmRz5/oRAxMm+N+3xYv9hRCpQM1vwjs/g93Ohv77xB2NSGnoMQgmXA5LH4Ulj8QdjVS4kknIGhrgzTfh+AKPxMgnIQurQgapuwOmmmsTplyHbN58M6xY4T8kBlWeKJKKdev8/LRskt50yW06ca1BFgha31eSdAlZ3EMWq6p8M6FiSchef93fT5gAxxzj/zZOn+4viEiFefkCqN4JJkyNOxKR0rL7N6DPbjD7e7C1Le5opIKVTEL2xBP+vlDzxwK5JmTt7T4pCaNCBv6DeaoKWce5NmHKpanJypVw441w6qkwZYrfFlWVJ9d13rJpfR/XGmSB+np4//3KadiwcaNv3tNZQhZGx85cErJg/2JJyF57DXr0gF139V9Pn+7/5tx0U7xxSYEtewIaHoJxF/u1x0Qkc1U1MOk6aJ4L794ZdzRSwUomIXv8cb8O1L77Fva4I0f6hCTbdX5WrPAfHMOskDU2+uFzgajnNuVSIbvuOn+F/uqrt22LqsoTJGTZJr2pktt04k7I6ur8/73334/n+IXW2TDcYcNgy5ZwEqLgNfpluUxTsSVk++yz7YLMgQfCxz7mL4isXBlvbFIgW9v9/JeddoE9z407GpHSNOpjMOQIeO1yaG2JOxqpUCWRkDnn548dc0zh14KqrfXViRUrsntertWbdIJmFAsWbNsWdUKW7cLYS5bAbbfB5z4H48dv215fD4sWhV/lCRo85FIhW7bMD3fsStwJWfBzr5Rhi52938HPOYzGHs3NvmFPVZadwYstIZswYfttV1/th/IGzXSkzL33a1j9Mux3LVT1jDsakdJkBvv/0K9JNve6uKORClUSCdnbb/sPaoUergi5r0WWa/UmnVTt2qNOyGpq/KLWmSZkV1/t10WbOnX77VFVefIZsgjbJ7fpNDTAgAH5ryWXq0pbi6yzhCz4XQpjHllzc/bDFaF4ErKVK/2i8B0TsnHj4POfhx//OL81BKUEtK2HVy+BQQfDLp+JOxqR0jboQBh7Brz5I1hfIUNSpKiUREI2Y4a/L3RDD8i9sUWu1Zt0OlZKNmyANWuir9xkOofu3Xfhjjvg7LO3xRqIKqnI9T3OZi2yuFreB0aO9I1IVCHb9nNWQrZ9Q4+Opk71c1iThw1L58zsRDN7y8zmmdmFKR7vYWa/Tzz+vJmNTXrsosT2t8zshIIFPfcG2LjUX9k3K9hhRcrWftP9/SsXxxuHVKSSSch22WXHD/qFkGtCFnaFbPBgP8QqSCKiXhQ6kGlCNnWqTxwuvXTHx6IadtfU5D8g9+iR3fOyiSfuhKyqyi8QXSkVsiVL/P/zVHO7whyy2NKSe0LWUgRTDF57zd8nDw0O1NX5CyN33unXKZPOmVkV8BPgJGAf4HQz69g7/kvAaufcbsBNwHWJ5+4DnAaMA04Efpp4vWhtaIA3boAxn4Yhh0Z+OJGKsNMY2Os8WPA7WDkz7mikwhR9Qtbe7jssHndcPBcBhw/3x82lQlZdDTvvHE4cZtt3B4x6DbLAyJFdf++vvQa/+x2ccw6MGJH6Nbp3Dz+paGrKLeEdMsS34y+FChlUVuv74P1O9bs+eLDfrgqZ/50bMCD97/8ll/jfuY7DhyWlKcA859x859wW4H7glA77nALck/j3H4DjzMwS2+93zm12zr0HzEu8XrRevRRcG0zUZEGRUO1zoe9W+tJ3w2npK5Khok/IZs/2Q/PimD8G/kPNsGG5VciGDg03iQ/7r/YAACAASURBVEzuDlioZhO1tbB8uV8gOp3LLoO+feH730/9eFRVnsbG3IaEdkxu02lr88eIaw2yQCUtDt1ZAlxdDYMGhdfUI9eEbNMm3+0xTkFDj3R/X0aMgG99C+69d1s1TdKqBRYlfb04sS3lPs65NqAZGJThc8O1ajbMv8d3VexTF+mhRCpO974w4SpY/i9Y/Oe4o5EKUvQJWTB/7Nhj44shl7XIcq3edCb4YO5cYRMy8F0JU3n+efjrX+H882HgwPSvE0WVJ5+FtzNJchobfTOSuCtk9fW+iUMxDJWLWlcVyWHD4q+QBc+Pi3N+Dlmq+WPJLrjAD/1MNYxYCsvMzjazWWY2a/ny5fm9WNtaGHSQX3dMRMK365eg/ziY/X1oj/nqm1SMkkjIxo/3QwfjksmwvY5yrd50pr7eN/NYvtzHk26uTZi6mkN38cV+COC3v93560RR5WlszD3pDaqNnY1IiLvlfSBoQlLuwxa3bvVzyDqrSAaLQ+cr14Qs+H2LMyF7/32/1l9XCdnAgf5CyYMPwnPPFSa2EtUAjE76elRiW8p9zKwa6A+szPC5OOdud85Nds5NHjJkSH7RDj0STngOakIaDy8i2+tWDZNuhHXz4J2fxh2NVIiiTsg2b4ZnnolvuGKgWCpkyd0BO5trE6bOErIZM/z8vksugT59On+d+npYtSq8D7Jtbb5qlE+FbP36zteXK5aErFJa369Y4deq6+z9Hjo0/yGLra2wcWPpVsg6a+jR0bnn+vfs4os1HaITM4HdzazOzGrwTToe7LDPg8AXEv/+JPCEc84ltp+W6MJYB+wOvFCguEUkKiNPhOEfhNevgs2r4o5GKkBRJ2TPPec/OBVDQrZqlZ87kgnnoquQga+UFKrZRLqEzDn/IW/0aPjKV7p+nbCrPEEilU+FDDpPcoolIauUClkm73cYQxaDZKoSErI+ffwFk6ee2jb8W7aXmBP2TeBR4A3gAefcHDO7ysw+mtjtTmCQmc0DzgMuTDx3DvAAMBf4B/AN51x7ob8HEYnA/jdCazO8rjVEJHpFnZA9/rhvCHHUUfHGke3i0OvW+eQt7IRs7Fh/n1whi9rAgb6tfMeE7K9/hRde8F3cevbs+nXCrvLku85bJq3vGxp8U5d8Rxjla8AA362z3CtkmSRkQ4f6ZCjTiyOplENCNmZM5vF/5St+f1XJ0nPOPeyc28M5t6tzblpi2+XOuQcT/97knPuUc24359wU59z8pOdOSzxvT+fcI3F9DyISsp0nQP2X4J2fQMs7cUcjZa6oE7IZM+DAA6OfJ9WVbNciC3sNskDv3n4u3bvvwtKlhUnIzHYcstne7hsF7Lkn/M//ZPY6YVd5gvc414Qs0wrZiBHQrQh+Syqh02Ima+sFv1P59EUo9YQsk4YeyXr08BdOZs6Ev/wlsrBERMrPvldBtx7wcpo20iIhKYKPmqm1tPgPEMcfH3ck2Sdk+VZvOlNf7ytTra2Fa8fesanJvffCnDlw9dW+FXkmwq7yBO9xrklv797+uZ3Fs2RJ/MMVA5WwFllDg78A0FkDn+B3Kp9hi6WckLW2wptvZpeQAXz+87DXXv5CSrsG1ImIZKbXcBh3kW+B3/h03NFIGSvahOzpp/0Hh7jnj0HxVMjAfzCfM2f7uKKWXCHbsgWuuAImTYJPfCK718lk7a9M5VshyySehob41yALBLFu3Rp3JNFpaPC/M927p98n+Hnn09gjn4Qs7i6Lb73lk7JM5o8lq672F1DmzvWLuIuISIb2/A70Hg0vnQeujE/CEquiTchmzIBeveCQQ+KOxH9w6927eCpkgUImZEuW+Pknd97pE4Np07Ifype8sHW+mpqgpia3D9WZxlOoeXqZqKvzXUfTrQdXDjJ5v4OLHGFUyHIZCt29u/9bEFdCFjT0yLZCBvDxj8P++/sLKnEvbC0iUjKqe8HEa2H1S/Deb+OORspU0SZkjz8Ohx/u5z/EzSy7tciCD4tRNIMI5j5BYROyjRt9Unb11XDEEXDiidm/TphVnqCLZT5t/+vrYdEiX3HoaO1afyuWhKwSWt9nUpGMu0IWPC/OhKy62g8/zFa3bv5CyoIF8Mtfhh6aiEj52uU0GDQFXrkY2tbHHY2UoYwTMjOrMrPZZva3KAMCXwWYM6c4hisGslmLrKnJz5mqqQk/juCDeVdzbcIUJCUXXeSbiUybllsiVFfnr8wvXZp/TE1N+Vcg6+v9sNhFi3Z8rFha3gcqJSHr6v3eaSd/i2sOWfC8uBKy11/3zXRy/dtywglw5JH+wsp6faYQEcmMdYP9fwQbG+CNH8YdjZShbCpk5+LXaIncE0/4+2Jo6BEIhu1lIoo1yALBB/Ou5tqEKfiQ/JvfwEkn+QpZLsJMKhob85+j11mnxWJLyMaM8UlwuTb22LjRr/WXyfs9dGj+CVmvXrn//sRdIct2/lgyM5g+3f/+3HZbeHGJiJS9IYfBmE/B3OtgQ4YfCEUylFFCZmajgA8Bd0Qbjjdjhq8wTZxYiKNlJnkeVVeamqJp6AF+SFf37oVNFJKPNW1a7q+TydpfmQqrQpYunmJLyHr0gFGjwklmt2zx89GKSSYt7wNDh+Y3ZLGlJb+5h/37+9cotLVr/XDDXOaPJTvsMPjQh+C662DNmlBCExGpDBOvBdcGr14adyRSZjKtkN0MXABE3l7GOZ+QHXOMXxS6WNTW+g+xK1d2vW+UFbKqKth9922LRBfCiBE+Cfz0p313xVwFVZ58kwrnwknIamv991UKFTIIp/W9c/DhD/sqZzF1bMzm/R42LP8KWb4JWRwVstdf9/f5JmQA11zjk7Ebb8z/tUREKkafetjzXJj/K1g1O+5opIx0uYqUmX0YaHLOvWhmR3ey39nA2QBjxozJOSDn4JZbYODAnF8iEsmt7wcP7nzfMJKFzvzxj9CnT3Sv31HPnvDUUzBuXH6vE1R58k0qWlp8cpxvFbKqCnbZJXU8S5b4ddN6987vGGGqr4fHHsvvNR57bNtr/O//wmc+k39cYci2QvbCC7kfq1QTsnw6LHY0caJv7JFLcx4RkYo27mKYfzfM/i4cOyO/7mIiCZlUyA4DPmpmC4D7gWPNbIe+n865251zk51zk4fk0V6wWzc45ZTc5ylFJdO1yFpb/VyYqIYsgu+wNmpUdK+fyqGH5vchNhBG6/sw1iAL1Nenr5AVyxpkgfp6H9emTbk93zm4+GKfhI4bB5ddBm1t4caYq2wrZMuX517hyzch69cvvgpZnz7+5xeGs84q/N8REZGSV7MzTJgKjU9Cw0NxRyNlosuEzDl3kXNulHNuLHAa8IRz7nORR1ZkMk3Ili/391FWyEpZugQoG8H8oTCS3nQJYjGtQRYImpAsXJjb8//0J3jxRZg61c8FfOcd+NWvwoouPw0NvhqZSaI0dKjvjrl6dW7HCqNCtmFD6uUSovTaaz6Rznb9PxERCdluZ0O/vWD296BdCztK/nRqz1DQYr6rhCyo3kRZIStldXV+eFquVR4Iv0K2cuWOTRqKMSHLp0tleztceinsvTd8/vPw0Y/CQQfBlVfm97MIS1CRzGTkR75rkYWRkEFhG3s45xOyMIYriohInrp1h0k3wtp3YN7P445GykBWCZlz7inn3IejCqaY1dT4D4JdJWTBh0RVyFILkooFC3J/jTATsqDqlDyPrL3dr4VXbAlZqlgz9ZvfwJtv+vWnqqq2tT9fvBh+XgTnkmwS4OBiR66NPcJKyAo5bHHZMn/hQAmZiEiRGHkyDD8eXpsKm1fFHY2UOFXIspDJWmRhJgvlKIzW90HSm8dUxU7jaWz0SVmxJWTDh/sGK9lWyDZv9sMUDzgAPv7xbduPPdYvvj5tmm+pHqdsErJ8KmRtbX5B5FJLyMJs6CEiIiEwg0k/hNZmeP2quKOREqeELAu1tRqymK/OFmPOVFOT78IZxsLYqYYBFmPLe/B/++vrs09mf/lLP+9s+vQdhwROnw4rVsDNN4cXZ7ac8xc6ClEhC4YZllpCFrS8z2dRaBERCdmAfWHXL8PbP4HmN+OORkqYErIsZJKQNTb69u59+xYmplKTa5UnWWNjeAnvgAH+A3YpJGSQfZfK9ev9mlNHHQUf+MCOj0+ZAqee6tejymSNvSisWOEXq870/R440De2yCUhC5KoUkvIXnvN/58PoyosIiIh2vdqqO4NL50XdyRSwpSQZaG21n943Lw5/T5NTf6Dk5alSM0s/wWOw17nrWPVKZs1sQot6FLpXGb733qrT2BTVccC11zjhyxed114cWYj2/e7WzefmOQyZDFIovr1y/65gbgSMg1XFBEpQj2HwPjLYekjsOSRuKOREqWELAvBB8bO5pFFvSh0Oci39X3Y73HHqlNDg298UYzViLo6P+wuk5bvq1fD9dfDhz/s15FLZ9w4+Nzn4Lbbup4jGYVcKpLDhlVOhay9HebMUUImIlK09jgH+uzmq2RbC7wmipQFJWRZyGQtssZGJWRdCSpSmVZ5OgpzyGIQz4IF2xYabmiAESN8UlZssml9f8MNsGaNr4B1ZepU3/Di6qvzCi8nuSRkQ4fmVyErpYTs3Xf90gRKyEREilRVDez/Q2h5E94pgtbFUnKUkGVh5Eh/31lCFgxZlPSCKs+qHLrEbtnik4ywhyxu2uRbi0NxrkEWyLRL5bJlcMstcPrpsN9+mb3u2WfDHXf4BKCQgt+nYK2/TAwdGl+FrKbGz4MsVEKmhh4iIiWg9iOJNvhXwOaYJmVLyfr/7d15lFxlnf/x97e709n3pSEJJN0hbEkgQAhkMCzpwERlxJmD24yKMg46gzCKg4A4yCJHmN8oOoOjMqCgg6IHRBBBJZ0AsoTQIUA2Q0JIQkLSHUJWs6ef3x/PvXSnU11d2617q+rzOqdPrV33m5vqvvXp73OfR4EsC911yJzTkMVM5DP1fRSzWHae+THJgSzTWSpvvdWf63jTTZm/9te/7meuvPHGnMvLyfr1/memtjbz78l1yGIhZlkMv79YC0MvWuTP/5swoTjbExGRHJjBqd/x0+AvyuLgK4ICWVYGD/Z/Ge/qPJtt23wHRx2y9PKZ+j6Kdd46B8QkB7J+/fy5ben23erV8KMfwaWXwvjxmb/2kUfCFVfA/fe3r3tVDLns7xEjYOdO2LUru+8rRIcs/P5idcgWLYJx46BPn+Jsr5KY2RAze9LMVgSXg1M8Z7KZvWBmS8zsNTP7WIfH7jWzN83sleBrcnH/BSKSKIMmwTGfhxX/A9uWxl2NlBAFsiyYpZ/6XotCZyZpgWzMGP9/u2qV/5C/fXtyAxl0P0vlTTf5mQhvuCH7177mGr9kw7//e+71ZSuXQJbrWmTbtvllKXr2zO77Oit2INP5Y5G5Fmhyzo0HmoLbne0CPu2cmwDMAr5rZoM6PH61c25y8PVK9CWLSKJNuhlq+vkJPnI9WV4qjgJZltIFsnCSAQWy9Pr3912eXIYshvu4kF3Inj39/+ubbyZ7DbJQulkqly6Fn/4ULr8cRo/O/rWHDIGrr4ZHHoEXX8yvzkzl2iGD7Cf22LYt/+4YFC+Q7d4NK1cqkEXoIuC+4Pp9wIc7P8E597pzbkVw/W2gFUjgHKwikgi9hsGkb8CGP2gafMmYAlmWMumQachi97Jd4DgUVRcyrCfJa5CFGhpgzRo/HXpnN9zgh7Zdd13ur/+lL/nA/LWv5f4amdq71y9InWsgy6VDVohANmBAcQLZsmV+9k9N6BGZOufchuD6RiDtb28zmwrUAh2nvrk1GMp4h5nl2XsVkbIw/nLofyws1DT4khkFsiyFgSxVF1odssx1Xow5Uy0t0Lu3P5eq0PWsWtUetsMZNZOovt5PUb9u3aH3NzfDQw/BV74Cw4bl/vr9+sH118OcOdDUlF+t3ck1AOczZLGUOmThuXzqkOXOzGab2eIUXxd1fJ5zzgFdji8ysyOBnwGfdc4Fi2RwHXA8cDowBLimi++9zMyazax506ZNhfhniUiSvTcN/nJ4/X/irkZKgAJZlkaN8n/VTzVle2urPxcpnw/DlaK+3nd5DhzI7vvCWSzNCltPQ4MPB2HXLukdMji8w3j99TB0KFx1Vf7b+Pzn4aijfJcsyiHwuQ4RrZQhi4sW+SG1xxwT/bbKlXNupnNuYoqvR4CWIGiFgStlxDezAcDvgOudc/M6vPYG5+0FfgJM7aKGu5xzU5xzU4YnccV5ESm8kR+EIy6ARTfCHv0hRtJTIMtSurXIWlv9B+KamuLWVIoaGlJ3eboT1bIC9fU+eDz/vB+OVugOXCGFk6J07DA+9RT88Y9+qOKAAflvo1cvP/39/Pn+fLKo5NqR7NXL/zvj7JDt3Jl62GghLVoEJ56o3ykRehS4JLh+CXDYu93MaoGHgZ865x7s9FgY5gx//tniSKsVkdJhBqfdAQd2wqvXx12NJJwCWZbSrUXW0qLhiplKFSoy0dISzTl6Ydfp+eeT3R0D37mqrm7vkDnnO1kjR8K//EvhtvPpT8Oxx/r1yaIKHvlMojJiRLwdMoh+LbLFizVcMWK3Aeeb2QpgZnAbM5tiZncHz/kocDbwmRTT299vZouARcAw4JvFLV9EEm3giXDclfDG3bC5Oe5qJMEUyLIUfnBMtRZZa6sm9MhUV8PuuhNlhwxgx47kB7KaGjj66PYw+7vfwQsv+Ak9evcu7HZuuQWWLIFf/KJwr9vR+vW+2zX4sNWfujdiRLwdsvD1ovLuu/73jCb0iI5zbrNzrtE5Nz4Y2vhucH+zc+5zwfX/c8716DC1/XvT2zvnZjjnJgVDID/pnNsZ579HRBJo0jeg1whovgLeO/1U5FAKZFlKN2RRHbLMhV2ebDpkbW3Rhd4jjvDBAJIfyKB9EpK2Nn/u2LhxfiHoQrv4YjjlFB/29u0r/OuHU97nck5gXV12gezgQR+4CzGksxiBTBN6iIiUgR4DYPLtsHkevPmzuKuRhFIgy1JtrZ8SvKtzyNQhy0zY5cmmQ7Z1qz/vLIrQW1XV3iUrpUD2y1/Ca6/BzTdDjx6F305VFdx6qw/O99xT+NfPZQ2yULZDFnfs8Jel0iFTIBMRKRP1n4KhZ8IrX4V9RZgRSkqOAlkOUq1Ftnev/3CmDlnm0i1wnEpUa5CFSimQ1df7/fG1r/kP7B//eHTbmjULpk/3wxd37Srsa+cTyOrq4J13Mj+/LQxPpRTIBg9O9hIMIiKSAauC0+/0sy0uuinuaiSBFMhykCqQRR0WylF9fXZDFsNuSFRdyPC8tlL4ABzWunq172BVRfiTbOa3sWED3Hln4V7XOX+OVD4dMud8KMtEqQWycEKPQi/xICIiMRhyGhzzT/D6f8O2pXFXIwmjQJaDdIFMQxYz19Dg99vODE+DV4esXVjrtGlw4YXRb2/6dHj/++G22wo3s+C77/rOcj6BDDI/j6yUAplzPpBpQg8RkTJy0q3Qoz80XxntIp9SchTIcjByJGza5D9MhsLujTpkmevY5clE1B2yD3zAh5sJE6J5/UKaNMnX+73vFa+Dct11sGUL/OEPhXm9XNcgC4Xvg0wDWRgkS2Ha+7Vr/Wvr/DERkTLSaxicdAu0NMFbv467GkkQBbIchH/R37Ch/T51yLIXdnkyPY+stdWHj6FDo6nn+OPht7+FPn2ief1C6t3bT3d/+unF2+a0adC/PzQ1Feb18lmDDNr/+JHpxB6F7JD16uUn+ImqQ6YJPUREytQxn4dBJ8HLV8GBAp+YLSVLgSwHqdYi0zlk2Qs7ZJmeR9baCsOG+enypfhqauCcc5ITyLLtkBUykIWvE3Ug05BFEZEyU1UDU/4bdq2FpbfHXY0khAJZDsIPkB3PI2tp8Z2Vvn3jqakUDR0K/fpl3iFraVEHMm6NjbByJaxZk/9r5TtkcdAgHxLj6JCFrxNVIFu82K/VV6haRUQkQUacDWP+3geynVlMNy1lS4EsB6kCmdYgy55ZdlPft7aqAxm3mTP9ZSG6ZOvX+zX9amtz+34z/37IpkPWo0f7AuD5GjAg2g6ZhiuKiJSxU/7Dd8sWfDnuSiQBFMhyMGQI9Ox5eIdMYSF7DQ2ZD1lUhyx+Eyb4/4NCBbJ8Z7Ssq8sukA0cWLhJUKLqkO3fD3/+swKZiEhZ6zMKJt4A6x+FdY/GXY3ETIEsB2aHT32vDlluwrXIMpn9VR2y+JnBjBkwZ07+M/bmswZZaMSI7IYsFnIIYFSBbPlyH8oUyEREytzxX4aBE6H5Cjjwl7irkRgpkOUoVSBTWMheQwPs2tV9l2P3btixQ/s4CRobYeNGWJrnupZxdcgKJapAphkWRUQqRFUPmPpDP8HHopvjrkZipECWo5Ej2wNZW5sCWa4ynfpeywokR2Ojv8xn2OLevX4tv1wn9AiFHbJMunWlEsgWL/YziR53XOFfW0REEmb4WTDuc/Dn78DWRXFXIzFRIMtR2CFzzi+We/CgwkIuwqnvMw1kCr3xGzsWxo3LL5CFa/gVYsjinj2wc2f3z922zU/EUSgDB/qubVtb4V4TfIfsuOP8eaoiIlIBJt8GtYNg/hfAFfigIiVBgSxHo0b5D4Jbt7afw6KwkL2xY/1ldxN7aB8nS2MjPPUUHDiQ2/fnuwZZKJu1yKLokDnnQ1khaYZFEZEK03MonPKf8M7z8MaP465GYqBAlqOOU99rOF3ueveGI4/UkMVS09gI27dDc3Nu31+oQBYG9Ewm9ogikIWvWyg7dsDq1QpkIiIVp/7TMOIceOWrsCfDk6OlbCiQ5ShVIFP3JjeZTH2vfZws553nL3MdtljoQNZdh6ytzQfIpAeyxYv9pQKZiEiFMYPTfwAHdsLCq+OuRopMgSxHHQOZhtPlp76++w5ZSwv06wd9+hSnJklv+HA4+eT8AlnPnn5Nv3yEHdPuOmQ7d/rhhaUSyCZOLNxriohIiRh4ApzwVXjzp9AyN+5qpIgUyHIUzg4XdsiqqmDo0HhrKlUNDfDWW7BvX9fP0SyWyTNzJjz3nF+2IFvhGmT5LtI8fLi/7K5Dtn27v4wikIWvXQiLFkHfvu3nVoqISIWZcD30a4CX/hkO7o27GikSBbIc9ewJw4a1B7Lhw30ok+zV1/vuxdq1XT+npUWBLGkaG32Ifu657L+3EGuQAdTWwuDB3QeysIuV9A7ZokW+O6bfJSIiFaqmN0z5PmxfDsv+X9zVSJHosJ+HcC2ylhZNNpGPTKa+b23VPk6a6dOhpia3YYvr1+e/BlkoXIssnVIIZM5phkUREQFGzoKjPwKLvwk7VsZdjRSBAlkewrXINJwuP2EgSzexh/Zx8vTrB2eemX0gc65wHTLw74ty6JBt3AibN+v8sWIysyFm9qSZrQguB3fxvINm9krw9WiH++vN7EUzW2lmvzSz2uJVLyJl7dQ7oKrWD110Lu5qJGIKZHkYNcqfC6PhdPkZOdIPPeuqQ3bwIGzapA5ZEjU2woIFfnH0TG3Z4tfwK1Qgq6uLp0PWu7fvEBYqkGmGxVhcCzQ558YDTcHtVHY75yYHXx/qcP/twB3OuWOALcA/RluuiFSMPqP8gtEbZ8MqrU1W7hTI8jBqlP/L/IYNCgv5qKrykxh01SF7910/bblCb/LMnOn/cPfUU5l/T6GmvA/F1SEzgwEDChfIFi3ylwpkRXURcF9w/T7gw5l+o5kZMAN4MJfvFxHp1vgv+LXJXr4Kdq2PuxqJkAJZHkaN8h9Gd+9WWMhXuqnvtaxAck2d6mcFzGbYYqEDWV2dD+3793f9nCgCWfh6hQxkdXXtM0dKUdQ55zYE1zcCXf1prZeZNZvZPDMLQ9dQYKtz7kBwex1QoHe1iAhgVXDG3dC2H+Z/QUMXy5gCWR46fqBUhyw/DQ1dB7Kw+6F9nDy1tXD22TB7dubfE0WHDPyw1q5s2wbV1YVfx67QgUzdscIzs9lmtjjF10Udn+ecc0BXn3bGOOemAH8PfNfMxmVZw2VBoGvelO6NKiLSWf9j4ORb4e3HYPXP465GIqJAloeOHyjVvclPQ4M/t2jr1sMfCwOZ9nEyNTbC8uXtQas7b7/tLws5yyKkH7a4bZsPT/mue9ZZoQLZwYOwZIkm9IiCc26mc25iiq9HgBYzOxIguEz5LnLOrQ8uVwFPAacAm4FBZlYTPG00kPKnwDl3l3NuinNuynC1QEUkW8deCcOmwYIrYffGuKuRCCiQ5UGBrHDq6/1lqvPIwiGL6pAlU2Ojv8x02OL69X4Nv549C7P98H3RXSAbMKAw2+uoUIFs1So/0Yk6ZEX3KHBJcP0S4JHOTzCzwWbWM7g+DDgLWBp01OYCF6f7fhGRvFVVwxk/hgN/geYvxl2NRKDbQGZmR5nZXDNbamZLzOxfi1FYKRg61A/ZAoWFfKWb+r611Q83G5xyQmqJ20kn+YCVTSArVHcM2v8Ykm6mxbBDVmiFCmSa0CM2twHnm9kKYGZwGzObYmZ3B885AWg2s1fxAew259zS4LFrgKvMbCX+nLJ7ilq9iFSOgcfDpBvhrYdg7YPdPl1KS033T+EA8BXn3Mtm1h9YYGZPdjggVSwz/8Fy9Wp1yPIVdshSnUfW0uInOqhSPzeRqqpgxgwfyJzrflhgIdcgg8w7ZEkPZGYwYUL+ryWZc85tBhpT3N8MfC64/jyQMioHQxinRlmjiMh7Tvg3eOtBaL4cRpwLvYbFXZEUSLcfcZ1zG5xzLwfXdwDL0ExS7xk1yg+F6tUr7kpK26BBvgOWKpC1tqoDmXSNjT5oLV/e/XMLHcj69/fDH+PqkG3fnv/EV4sWwbhxhZ90REREykhVDZz5E9i3BRZowFo5yarnYGZj8SczvxhFMaXo2GPbuzuSn4aGrocsqgOZbJmeR7Zvn///LGQgM+t+LbIoA1lbG+zcmd/rLFyo4YoiIpKBQZNgwvWw5uew7tG4q5ECyTiQmVk/4CHgS8657Sker8hpfb/zHfjdxwM9JQAAGUlJREFU7+Kuojx0tRZZS4s6ZEnX0ABjxnQfyDYEKz4VMpCBf3/EFcjC18/VmjX+fX/22YWpSUREytyJ1/lg9tIXYF+K6aml5GQUyMysBz6M3e+c+3Wq51TqtL6DBhX+w2Wlamjw5+O1tR16vzpkyWcGM2fC3Ll+CveuFHoNstCIEV0PWXTODyuMMpBtP+xPVJkLQ2zjYWcyiYiIpFBd64cu7mmF5ivjrkYKIJNZFg0/c9Qy59x3oi9JKlV9vR/SFq5TBX4o2K5dCmSloLHRryO3cGHXz4kqkKXrkO3a5UNiUjtkTU3+/a01yEREJGNDToMJX4fVP4PVD8RdjeQpkw7ZWcCngBlm9krw9YGI65IKFE5933HYYvghW0MWk2/GDH+ZbthiGLaj6JC1tqaeXCMMS0kMZM7BnDk+zBZ60WoRESlzE78OQ8/0Qxf/sjbuaiQPmcyy+KxzzpxzJznnJgdfjxejOKksqdYiCwOZOmTJV1fnuzyzZ3f9nPXr/dp9Q4cWdtsjRvjuaqpglORAtnQpbNyo4YoiIpKDqho4635wB+H5T0JbmnMGJNG0spMkxtFH+y5Bxw5ZeF6QOmSlobERnn0W9uxJ/Xi4KHShu0Hp1iJLciDT+WMiIpKXfg0w5fuw6U+w7Pa4q5EcKZBJYtTWwlFHqUNWyhobfRh74YXUjxd6DbJQ+P5INbFHlIFswIBDt5Gt2bN9Z3js2IKVJCIilab+U3D0x+C1b8A78+OuRnKgQCaJ0nnq+/ADdgVN3FnSzjkHqqu7Po8sqkAWV4esXz+oqsotkB04AE8/7WenFBERyZkZTP0B9D4Snv8H2J/n4phSdApkkiidF4dubfUfpHv1iq8mydyAATB1aupA5lz5dcjM/L85l0DW3Oyny9dwRRERyVvtYPir/4Odb8DLX4q7GsmSApkkSn29n4lv925/W2uQlZ7GRpg///CQsnWr/3+NIpANG+bDUboOWTi8sNAGDswtkIWh9bzzCluPiIhUqBFnw4Tr4I17YO1DcVcjWVAgk0QJZ1pcvdpftrRoQo9S09joF/d++ulD749qDTKAmho/c2NXgczMDy+MQj6B7OSTNRxXREQKaNKNMGQKzP8n2LUu7mokQwpkkiidp75Xh6z0TJsGvXsfPmwxqjXIQiNGdD1kccAAf65XFHIJZLt2wXPPabiiiIgUWFUP+Kufw8G98MKnwbXFXZFkQIFMEqW+3l+GE3u0tCiQlZqePWH69MMDWdghGzkymu3W1XXdIYvi/LFQLoHsuef8umma0ENERApuwHiY8l/QMheWfCvuaiQDCmSSKHV1vrvy5pt+FrrNmzVksRQ1NsKSJX7R41DUgSxdhyxpgaypyQ+znD49mppERKTCNVwKYz4Br/07bPhj3NVINxTIJFHM2qe+f+cdf586ZKUnHIo3Z077fevXw5AhPnBHYcSI0umQNTXBmWdGd16biIhUODM4439h0ER47hOwc3XcFUkaCmSSOA0NPpCF3Q51yErP5MkweLBf+DgU1ZT3obo6H4z27j30/u3bow9k27f7af0zsWULLFig88dERCRiNX1h+q/BHYQ//R0c2B13RdIFBTJJnHAtsjCQqUNWeqqr/XTuTU3tQSXqQBa+Tzp3yYrRITtwoH2phu489ZTfJwpkIiISuf7H+PXJtiyE5n/J/K+HUlQKZJI49fWwYwcsW+ZvK5CVppkzYe1aeOMNf7ucA1m4nUzMng19+8IZZ0RXk4iIyHtGXQgTb4BV98LKH8VdjaSgQCaJE059P2+ev9SQxdIUdoCammD/fh+Uoh6yCIdO7OFc8gJZUxOcfTbU1kZXk4iIyCEmfQOOfD8suBI2vRB3NdKJApkkTjj1/bx5/kNrlB+mJTrjx8Po0T6AbNzow1GxO2R79vgwmJRAtn49LF+u4YoiIlJkVuWHLvY5Cp69GHanmJZYYqNAJokTBrLVq/2HbLNYy5EcmfngMWcOvPWWvy+qKe+hvUPWMZCFISkpgSxcm02BLBnMbIiZPWlmK4LLwSmec56ZvdLha4+ZfTh47F4ze7PDY5OL/68QEclQzyF+ko99W+C5j0Hb/rgrkoACmSROv37t3Q6dP1baGhv9WnJPPOFvR9kh69sX+vQ5dMhiMQLZgAGHbiudpiYYNgxOOim6eiQr1wJNzrnxQFNw+xDOubnOucnOucnADGAX0HFRn6vDx51zrxSlahGRXA0+GabeBa1Pw8Jr4q5GAgpkkkhhl0yBrLSFnaCf/cxfRhnI4PC1yJLUIXPOB7IZM6BKv3mT4iLgvuD6fcCHu3n+xcATzrldkVYlIhKl+k/CsVfA8jv8RB8SO30skEQKJ/bQhB6lbeRIOOEEWLMGevTw3aEo1dWl7pCFXawoZBrIli/355BpuGKi1DnnNgTXNwLd/cb5OPCLTvfdamavmdkdZtaz4BWKiETh1G/DEefDi5+Dt5+Iu5qKp0AmiaQOWfkIA8jIkdF3huLokPXv78+X6y6Q6fyxeJjZbDNbnOLroo7Pc845oMsFeszsSGAS8IcOd18HHA+cDgwBUo7/MbPLzKzZzJo3bdqU7z9JRCR/VT1g+kMw6CR49iOwuTnuiiqaApkkUtghUyArfWEAiXq4IvgOWbEDWVWVD2WZBLIxY9rf21IczrmZzrmJKb4eAVqCoBUGrtY0L/VR4GHn3HtnwTvnNjhvL/ATYGoXNdzlnJvinJsyfPjwwv3jRETy0aM/nPs49BwOT38QdrwRd0UVS4FMEinskGnIYuk791wfWooRyMIOWVubv12MQBa+frpAdvAgzJ3rw6lmDU2UR4FLguuXAI+kee4n6DRcsUOYM/z5Z4sjqFFEJDq9j4Dzfg/uIMz9a9iT7u9SEhUFMkmkM8+ESy+FmTPjrkTyNWgQ3HwzfPaz0W9rxAgffrZs8bfDkNS/f7Tb7S6QLVwIW7fq/ZxAtwHnm9kKYGZwGzObYmZ3h08ys7HAUcDTnb7/fjNbBCwChgHfLELNIiKFNeA4OOcx2P02PHUh7N8Zd0UVpybuAkRS6dMH7rkn7iqkUK6/vjjbCTuqLS0wdKgPSf37Q3V1tNvtLpDNnu0vZ8yItg7JjnNuM3DYWX3OuWbgcx1urwYO6/E65/Q/KiLlYdiZcNYD8Ke/hWc/Cuc84s8zk6JQh0xEykZ4zmF4Htm2bdEPV4TuA1lTE0ycqCG4IiKSYKM/BKf/ADY8AfO/4NdrkaJQIBORshEGnjCQbd9evEC2fXvqx/bsgWef1eyKIiJSAo65DCbeAKt+DK/dEHc1FUNDFkWkbIQdsnAtsiR0yF54wYcyBTIRESkJk26EXetgyTehuhdMLNJ5BxVMgUxEysaQIX5Gx45DFosxy3i6QNbU5M9hO+ec6OsQERHJmxlM/RG07YfXvg4H/gIn36ppgiOkQCYiZaO62gewjh2yY46JfrsDB8K+fb4T1qvXoY81NcHUqTBgQPR1iIiIFERVDUy7F2r6wNJv+VB22h1gOtspCtqrIlJWwrXIoLhDFsPtdbRtG8yfr+GKIiJSgqzKT/Jx3Jfh9f+C+ZdB28G4qypL6pCJSFmpqyt+IAu7X9u2HTqT4tNP+0WqFchERKQkmcGp34Ye/WDxLXBgt++caUr8glIgE5GyMmIEzJsHe/f6rzg7ZE1N0Ls3TJsWfQ0iIiKRMIOTbobqPvDqdXBwl1+zrLpn3JWVDQ1ZFJGyEg5ZDMNRMc7dShfIpk+HnjpmiYhIqZtwLZz2X7DuN/DMRXBgV9wVlQ0FMhEpK3V1sHMnbNjgb8fVIdu4EZYs0XBFEREpI8ddAWfcAxv+CHNnwZ5NcVdUFhTIRKSshGuRrVjhL+MKZE1N/lKBTEREysq4S+GsX8Dm+fD7U+Gd+XFXVPIUyESkrISTaiQhkA0eDJMnR799ERGRohrzMbjgebAamP0+WPFDcC7uqkqWApmIlJU4OmQdZ1kEf0xqaoLzzvNro4mIiJSdIafCrAVQNxNe+meY9xmdV5YjBTIRKSthIHv9dX9ZjEBWXQ39+rUHsjfegLVrYebM6LctIiISm55D4NzHYNKN8ObP4I/TYMcbcVdVchTIRKSsxNEhC7cTBjKdPyYiIhXDqmDSN+Dcx2HXW/D702Ddb+OuqqQokIlIWendG/r3b18cuhjT3sPhgWz0aBg/vjjbFhERid3IWX4IY79x8MyHYOE1GsKYIQUyESk7YZesb1+oqSnONgcOhO3boa0N5szx3TGz4mxbREQkEfrVwwXPwbh/gmX/AY+dAGsf1IQf3VAgE5GyE860WKzhiuG2tm2DV1+FzZs1XFFERCpUdS844y6Y+QzUDoJnPwJzzodtS+OuLLEUyESk7IQdsjgCmc4fExERAUZM90MYp9wJ7y6Ax0+GBVfBvm3df2+FUSATkbITZ4esqQlOOAFGjizetkVERBKpqgaOvRz+5nVo+Cws/y48dhysug9cW9zVpXZwD7Q8XdRNKpCJSNmJq0O2ZQs884y6YyIiIofoNdwPY/zr+dB3rF+z7InJsPxO2Lc17uq8HSth4dXwm9EwZybs3li0TSuQiUjZCQNZsWZYDLe1bx/s2qVAJiIiktLQKXDB8zDtp2A9YMEV8PBIeOEzsOm54k/+0XYA3noY5lwAvx0Pf74DRpwL5/0eetUVrYyMApmZzTKz5Wa20syujbooEZF8xDVkEaCqCs49t3jbldyZ2UfMbImZtZnZlDTPS3kMNLN6M3sxuP+XZlZbnMpFREqYVUH9p+D9C2BWM9R/Gt76NTz5Pnh8Ivz5u7B3c7Q17FoPr90Ij4yBP/0dbF8Gk26Gi9bC9AfhiOJOldzthNBmVg18HzgfWAe8ZGaPOuc0VYqIJFJcQxYBpkyBQYOKt13Jy2Lg74AfdfWEbo6BtwN3OOceMLMfAv8I/CD6skVEysSQ02DqaXDKf8LaX8HKu+DlL8Mr18Lw98GQU/1zBp8K/cf5MJettv2wdRFsfgk2z4d3X4JtS3w37si/htN/ACM/4M93i0kmW54KrHTOrQIwsweAiwAFMhFJpDg7ZBquWDqcc8sALP1fQVMeA81sGTAD+PvgefcBN6JAJiKSvR79YNyl/mvLa7DqJ7DpWVj+PWjb559T0x+GnAKDT4PBk6HHAMAFk4O0+YDl2vx9B3fDlld9ANv6ip+oA6DnUBgyFY66GOo/Cf0aYvoHHyqTQDYKeKvD7XXAGZ2fZGaXAZcBHH300QUpTkQkF6NG+UWhG4r4e3bsWD+64cILi7dNKYqujoFDga3OuQMd7h9V5NpERMrP4JPgtDv89YP7YPtSePfl4GsBrPyhD1zdqenru2vjL4ehU2Ho6X5CkSIORcxUwXpzzrm7gLsApkyZouW4RSQ2/fvDmjXFHTp48smwYUN7d06SwcxmA0ekeOh659wjRapBf7AUEclFda3vhg2e7Ltn4Cfi2LES2vYAFgxjrAqCVpW/XVUDfcZAVXWMxWcuk0C2Hjiqw+3RwX0iIok1dGjxt6kwljzOuZl5vkRXx8DNwCAzqwm6ZF0eG/UHSxGRAqqqgYHHx11FQWVyZtxLwPhgNqla4OPAo9GWJSIikggpj4HOOQfMBS4OnncJUJSOm4iIlJduA1nwl78vAn8AlgG/cs4tibowERGRKJnZ35rZOmAa8Dsz+0Nw/0gzexy6PQZeA1xlZivx55TdU+x/g4iIlL6MziFzzj0OPB5xLSIiIkXjnHsYeDjF/W8DH+hwO+UxMJh5cWqUNYqISPnLYTJ/ERERERERKQQFMhERERERkZgokImIiIiIiMREgUxERERERCQmCmQiIiIiIiIxUSATERERERGJiQKZiIiIiIhITMw5V/gXNdsErMnzZYYB7xSgnHKl/ZOe9k962j/paf+k13H/jHHODY+zmFKi42PstO9yp32XG+233JXDvsvoGBlJICsEM2t2zk2Ju46k0v5JT/snPe2f9LR/0tP+iZf2f+6073KnfZcb7bfcVdK+05BFERERERGRmCiQiYiIiIiIxCTJgeyuuAtIOO2f9LR/0tP+SU/7Jz3tn3hp/+dO+y532ne50X7LXcXsu8SeQyYiIiIiIlLuktwhExERERERKWuJC2RmNsvMlpvZSjO7Nu56ksjMVpvZIjN7xcya464nbmb2YzNrNbPFHe4bYmZPmtmK4HJwnDXGqYv9c6OZrQ/eQ6+Y2QfirDFOZnaUmc01s6VmtsTM/jW4X+8h0u4fvYdioGNk5nRsyI1+J+bOzHqZ2XwzezXYdzcF99eb2YvBz+0vzaw27lqTyMyqzWyhmT0W3K6Y/ZaoQGZm1cD3gfcDJwKfMLMT460qsc5zzk2ulOlAu3EvMKvTfdcCTc658UBTcLtS3cvh+wfgjuA9NNk593iRa0qSA8BXnHMnAmcClwe/d/Qe8rraP6D3UFHpGJm1e9GxIRf6nZi7vcAM59zJwGRglpmdCdyO/315DLAF+McYa0yyfwWWdbhdMfstUYEMmAqsdM6tcs7tAx4ALoq5Jkk459wzwLud7r4IuC+4fh/w4aIWlSBd7B8JOOc2OOdeDq7vwB8MRqH3EJB2/0jx6RiZBR0bcqPfiblz3s7gZo/gywEzgAeD+7XvUjCz0cAHgbuD20YF7bekBbJRwFsdbq9DB/5UHPBHM1tgZpfFXUxC1TnnNgTXNwJ1cRaTUF80s9eCYT0aegKY2VjgFOBF9B46TKf9A3oPFZuOkfnTz3UW9Dsxe8Gwu1eAVuBJ4A1gq3PuQPAU/dym9l3gq0BbcHsoFbTfkhbIJDPvc86dih+2crmZnR13QUnm/FSimk70UD8AxuGHVGwAvh1vOfEzs37AQ8CXnHPbOz6m91DK/aP3kJQ0/Vynp9+JuXHOHXTOTQZG47vax8dcUuKZ2YVAq3NuQdy1xCVpgWw9cFSH26OD+6QD59z64LIVeBj/Ay+HajGzIwGCy9aY60kU51xLcNBoA/6XCn8PmVkP/AeP+51zvw7u1nsokGr/6D0UCx0j86ef6wzod2L+nHNbgbnANGCQmdUED+nn9nBnAR8ys9X4odgzgO9RQfstaYHsJWB8MKtKLfBx4NGYa0oUM+trZv3D68AFwOL031WRHgUuCa5fAjwSYy2JEx5UA39LBb+HgnHq9wDLnHPf6fCQ3kN0vX/0HoqFjpH50891N/Q7MXdmNtzMBgXXewPn48/BmwtcHDxN+64T59x1zrnRzrmx+N9rc5xz/0AF7bfELQwdTJ38XaAa+LFz7taYS0oUM2vAd8UAaoCfV/o+MrNfAOcCw4AW4BvAb4BfAUcDa4CPOucqcmKLLvbPufihZg5YDXy+w7kBFcXM3gf8CVhE+9j1r+HPmaj491Ca/fMJ9B4qOh0jM6djQ270OzF3ZnYSfvKJanzT41fOuZuDz24PAEOAhcAnnXN746s0uczsXODfnHMXVtJ+S1wgExERERERqRRJG7IoIiIiIiJSMRTIREREREREYqJAJiIiIiIiEhMFMhERERERkZgokImIiIiIiMREgUzKmpldamYrzGyfmW0t8GuPNbMbg2lZRURESoaOjyLJoUAmZcvMRgJ3Ac/jV32fWeBNjMWva6MDjoiIlAwdH0WSpSbuAkQiNB6/OON9zrln4y4mU2bWs1wXPhQRkUTQ8VEkQdQhk7JkZvcCTwU3m8zMBfdhZpeZ2atmtsfM3jGze8xsSKfv/6KZvWBm75rZVjObZ2Yf7PD4ucDc4OaTweu74H6C6zd2es2xwf2f6Vinma0zs2lm9ryZ7Qb+o8Pj3dYqIiKSKR0fRZJHgUzK1S3AlcH1y4FpwC1mdhvwfWA28CHgamAW8ISZVXf4/rHA3cBHgI8BzcBjZjYrePzl4HUJtjMt+Ho5h1oHAg8AvwDeD/wcIItaRUREMqXjo0jCaMiilCXn3Btmtiy4udQ5N8/MxuJ/ad/knLs5fK6ZvQ48C/wN8Jvg+/+tw+NVQBNwLPDPwO+dc9vNbGnwlGXOuXl5lNsP+KRz7pEO28y4VhERkUzp+CiSPOqQSSU5H/+ev9/MasIv4EVgB3B2+EQzO83MHjOzFuAAsD/4/uMiqGs/8FiutYqIiORJx0eRGKlDJpVkRHC5sovHhwKY2VH4v/gtBa4A1uIPOrcAJ0RQ1ybn3MFO92VUq4iISAHo+CgSIwUyqSSbg8sLgC1pHp+FH7f+UefcuvBBM+uTxbb2ArWd7uvqIOHS1NJdrSIiIvnS8VEkRgpkUkmeBNqAo51zT6Z5Xnhg2R/eYWbHAmcB6zo8L5x6t3eK11gDTOx03wdTPC/fWkVERPKl46NIjBTIpGIEJzLfDtxpZscBTwN7gKPwY9Lvds7Nxc/adAD4qZl9GzgSuAk/NKPjeZevB8+71MzexR+AljvnduBnhfq6mV0PzAOmA5+IoFYREZG86PgoEi9N6iEVxTn3NeAy/Em/vwIeAa7BD3tYETxnCfAPwBjgUeCrwLXAM51eazPwReBk/AHhJeC04OFvAXcGj/8GP7b+U4WuVUREpBB0fBSJjzmXaniuiIiIiIiIRE0dMhERERERkZgokImIiIiIiMREgUxERERERCQmCmQiIiIiIiIxUSATERERERGJiQKZiIiIiIhITBTIREREREREYqJAJiIiIiIiEhMFMhERERERkZj8f8Xl1u1Zqb3vAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(rand_seed)\n",
    "p1 = np.expand_dims(np.random.randint(0, 10, num_vars_x1), 1)\n",
    "p2 = np.expand_dims(np.sin(np.linspace(0, 5, num_vars_x2)), 1)\n",
    "\n",
    "fig, ax = plt.subplots(ncols=2, figsize=(15,5))\n",
    "ax[0].plot(p1, color='blue')\n",
    "ax[0].set_title('Block Loading $p_1$ ($X_1$)', fontsize=18)\n",
    "ax[0].set_xlabel('feature', fontsize=16)\n",
    "ax[1].plot(p2, color='orange')\n",
    "ax[1].set_title('Block Loading $p_2$ ($X_2$)', fontsize=18)\n",
    "ax[1].set_xlabel('feature', fontsize=16);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate orthogonal scores\n",
    "Here we generate some orthogonal scores. We impose orthogonality to make this example clear and simple (no mising of the latent variables). Of course, real-world data would typically deviate from this condition. Further down, we will refer to these scores as the \"ground truth\" ($=\\textbf{Y}$)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = ortho_group.rvs(num_samples, random_state=rand_seed)[:, 0:2]\n",
    "t1 = t[:,0:1]\n",
    "t2 = t[:,1:2]\n",
    "\n",
    "plt.figure()\n",
    "plt.scatter(t1, t2)\n",
    "plt.xlabel('Score vector $t_1$', size=16)\n",
    "plt.ylabel('Score vector $t_2$', size=16)\n",
    "plt.title('The scores vectors are orthogonal ($t_1^Tt_2 = 0$)', fontsize=18);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate data using loadings and scores\n",
    "Two data blocks are generated. Block $\\textbf{X}_1$ is formed as the outer vector product of loading vector $\\textbf{p}_1$ and score vector $\\textbf{t}_1$. Similarily, the data block $\\textbf{X}_2$ is calculated as the outer vector product of loading vector $\\textbf{p}_2$ and score vector $\\textbf{t}_2$.\n",
    "\n",
    "$\\textbf{X}_1=\\textbf{t}_1\\cdot\\textbf{p}_1^T$\n",
    "\n",
    "$\\textbf{X}_2=\\textbf{t}_2\\cdot\\textbf{p}_2^T$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "x1 = np.dot(t1, p1.T)\n",
    "x2 = np.dot(t2, p2.T)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Add noise to the data (according to noise parameter)\n",
    "Here we add some gaussian noise to show how this impacts the analysis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "x1 = np.random.normal(x1, 0.05*noise)\n",
    "x2 = np.random.normal(x2, 0.05*noise)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot data blocks $\\textbf{X}_1$ and $\\textbf{X}_2$\n",
    "Let's look at the data blocks $\\textbf{X}_1$ and $\\textbf{X}_2$. The variance in $\\textbf{X}_1$ is related to the first score vector $\\textbf{t}_1$ while the variance in $\\textbf{X}_2$ is related to the second score vector $\\textbf{t}_2$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(ncols=2, figsize=(15,5))\n",
    "ax[0].plot(x1.T, color='blue') \n",
    "ax[0].set_title('$X_1$ data', fontsize=18) \n",
    "ax[0].set_xlabel('feature', size=16)\n",
    "ax[1].plot(x2.T, color='orange') \n",
    "ax[1].set_title('$X_2$ data', fontsize=18) \n",
    "ax[1].set_xlabel('feature', size=16);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Perform MB-PLS\n",
    "We perform MB-PLS to fit the data. As a result we will obtain super scores, block loadings and scores and block importances. For further information on the algorithms please check out reference [1].\n",
    "\n",
    "With this simple example we aim to find out about the following:\n",
    "\n",
    "1. How much does each block contribute to the prediction of the score vectors $\\textbf{t}_1$ and $\\textbf{t}_2$ ($=\\textbf{Y}$)? This measure we call block importance $a$.\n",
    "2. What are the feature contributions in each block (block loadings $\\hat{\\textbf{p}}_1$ and $\\hat{\\textbf{p}}_2$)?\n",
    "3. Are the fitted block scores $\\hat{\\textbf{t}}_1$ and $\\hat{\\textbf{t}}_2$ describing the ground truth of our chosen block scores $\\textbf{t}_1$ and $\\textbf{t}_2$?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from mbpls.mbpls import MBPLS\n",
    "mbpls_model = MBPLS(n_components=2, standardize=False)\n",
    "mbpls_model.fit(X=[x1, x2], Y=t);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can find further information on how the model is fitted to the data here:\n",
    "\n",
    "https://mbpls.readthedocs.io/en/latest/mbpls.html\n",
    "\n",
    "In this example we are fitting a MB-PLS model to predict $\\textbf{Y}$ from the two data blocks $\\textbf{X}_1$ and $\\textbf{X}_2$. As $\\textbf{Y}$ contains our two known orthogonal score vectors we expect to require two latent variables (LV) to fit the data.\n",
    "\n",
    "Usually, we strictly recommend to standardize the data. This is important to give the blocks similar weight on the model, i.e. to correct for different feature variances across blocks. However, in this example we do not use standardization because it would destroy the imposed orthogonality of the above defined scores."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot $\\hat{\\textbf{p}}_1$ and $\\hat{\\textbf{p}}_2$ and compare to ground truth loadings $\\textbf{p}_1$ and $\\textbf{p}_2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "p1_hat = mbpls_model.P_[0][:,0]\n",
    "p2_hat = mbpls_model.P_[1][:,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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g1cEQkcPWrbP7k0+23w2bN8NRqkcnItUpPwjrn4Z377NlEwAdRsBJd1vSovVx0caXTZp1gf7fsNvH78Lqf8Dqv8Pcq2D+tdD9fOh1BXSdBI2aRB2tiEhClMCQ0L33HmzfDkVF9nVRETz1lCU28m02p4gkL1g2ctpplsAoLVUCQ0Sq2LcJVt4PK/8Ae9ZaF46hd9rSiJY9o44u+7XpB0N/DEN+ZG1jV//d2rWueQSadoLen4f+1+m1FJGsp0m6Erp58+y+cgJjyxZ4//3oYhKR7FE5gVH5axFp4LyHza/Bq1fAf7rDklugTX84/d9w3ioYfLMG3MlyDjqPghH3wQUfwNinoMs4eOdX8NRxMOdS2Do/6ihFRGqkGRgSungcWrSAgQPt6yCREY9Dnz7RxSUi2aG01M6pR406/LWINGAH98DqKbDiPti+2Go1HH+tdd5oaHUtwtS4ELqfa7fdpfDOr+G9+21mRufTYcB3oNu54HS9U0Syh34jSejicTjlFCvQB1bMs1kz1cEQEVNaCl272rKRli2VwBBpsPZvhyW3wr+7Qfwr4A/BiN/DBeth+K+UvAhTyx5w8v/CBWth2M+tq8usC+CZE2DF7yypJCKSBZTAkFDt3w+LFh2edQHQpMnhYn0iIqWl0KOHzcLo0UMJDJEGZ/9HsORH8GRveOsOOGo8xGbBWW9C369Ck1ZRR9hwNGkDA74N570HYx6BJu1g/n/Bkz3gzR/C3o1RRygiDZwSGBKqkhIoK4ORI498fORIWLgQDhyIJi4RyR5r1ljiAqBnT/taRBqA/Tug5PaKxMWP4agJcNZiGPsEdDldlb6j1KgAen4WJs2zZFLn02DpT+CpXrDoezZbRkQkAkpgSKiqFvAMFBXB3r3w1luZj0lEsof3NuOiZ0UdPs3AEGkADnwMb90JT/WGktvgqHFw1iJLXLQ/MeropDLnLJk09j9wznI49mJY9j/wZB9Y+jMtLRGRjEsogeGcu945t9Q595Zz7mHnXLOwA5P8EI9Dly6Hr64GKhfyFJGGa/Nmm6UV/I7o0cMe27s32rhEJAQHdsLSu2zGxZIfWqHIyQth7L+h/UlRRyd1adMPRj9os2Q6nwZv3gRPHw8r/gDlmlIrIplRZwLDOdcNuA4Y7r0fDDQGLg07MMkP8bglK6rOAu3dGzp2VAJDpKELZltUTmAArF0bTTwiEoJD+2HZz23GxZs3Q6fRMHkBnPEkdBgWdXSSrPZDYdzTEJsNrfrA/K/Bs4NgzT/Bl0cdnYjkuUSXkBQAzZ1zBUAL4IPwQpJUHTgAX/pS9MszduyA5cs/uXwELKFRVKQERq7ZtQuuvlrvm6RPTQkMLSMRyRPrn4PnhsCiG6DDCJgUt8Fvh1OijkxS1eU0S2Kc8TQ0agqvfhZeLIIN02x9oIhICOpMYHjv1wP/C5QCG4Ad3vupVbdzzl3jnFvgnFuwefPm9EcqCXvrLfjLX+CPf4w2jjfesL9fVQt4BkaOhKVLYefOzMYl9ffyy/DnP0NxMcyYEXU0kg+UwBDJUx+vgBnnwMyz7etxz8H456HjiGjjkvRyDrqdY8tKRj0IZVth+pnwSgw+Kok6OhHJQ4ksIWkPnA/0Bo4BWjrnrqy6nff+j9774d774Z07d05/pJKwkoq/Fy+9FG0cQQHP4cOr/35RkSU43ngjczFJauJxaNzYBplnnQXPPht1RJLrSkuhZUto396+7tbNzoeVwBDJUQc+hkU3wnODYNMsGPa/8KkSOOasqCOTMDVqDL0/Z4U+T/k1fPQmPD8MFn7Hap+IiKRJIktIYsD73vvN3vsDwBPA6HDDklQECYxly2D9+ujiiMehb1/o0KH6748YcXg7yQ3xOAwdCrNmweDBcMEF8OijUUcluay01BJiQZ2cwkLo2lUJDJGc48th1d/g6f7WpaLXlXDuuzDgO9C4MOroJFMaN4X+34Rz3oXjroblv4RnToDSf2lZiYikRSIJjFLgVOdcC+ecA4qBZeGGJakoKYE2bezfL78cXRxBAc+adOoEffoogZErysth/nx7Tzt2tM/WqFFw2WXwpz9FHZ3kqjVrPtmlSK1URXLMljhMHQVzr4KWvazOxal/huZHRx2ZRKVpByj6A5z5GjQ7CuZcAtMn29IiEZEUJFIDYx7wGLAQKKl4TsTVFaQ2JSVw/vmWIIgqgbF+PXzwQe0JDFAhz1yyYoUVZg1qmrRpAy+8AJMmwZe/DPfeG218kpuCGRiV9expiQ0RyXJl22Dul2DqSNhdCqf+Dc58VXUu5LBOp1pC65Rfw9a58NxgWHIbHFSvbBGpn4S6kHjvb/Pen+C9H+y9/5z3vizswKR+tm61xMHQoTBhgtXBiGLGXpCUqKmAZ2DkSGuXuGFD+DFJaoKaJpWTUi1awJNPwkUXwfXXw+23a4aoJG7vXti0yRIWlfXoYb8XytWNTyR7lT4Ozw6E9x+CATfacpE+nweXaIM7aTAaFVQsK1kOx34G3rrdEhkfPB91ZCKSg/RXJs8E9S+GDoVYzJIZy5dnPo5586BJEzjxxNq3CwbDmoWR/eJxaNUKTjjhyMcLC+GRR+Cqq+C22+C731USQxKzbp3dV7eEpKwM1NBKJAvt3QizL4Y5n4Hmx8DkBTDsbmjSOurIJNs17wpj/gETXoZGTWDGp2D2RbBnXdSRiUgOUQIjzwQJjCFDLIEB0SwjicctedGsWe3bDRtmXS2UwMh+8bh1lGnc+JPfKyiwOhjf/Cb8/Ofw1a/CoUOZj1FyS9UWqgG1UhXJQt7D+/+wWRfrn4IT74JJ86B9HVcqRKo6egKctcQ+Qx88D88OhlUP6uqHiCRECYw8U1JiBRaPPhp697YimZlup3roECxYUHf9C4DmzW22iBIY2a2sDBYvrv09bdQIfvUruPlmuP9+uPJKOHAgczFK7lECQyRH7FkPM8+D16+E1v3grMUw6Ca7ii5SH40L7TP0qRJoNwTmfgFmX2gzfEREaqEERp4pKbHZF0FLwuJimD4dDh7MXAzvvAM7dyaWwADbbv58rXfPZm++acmIumqaOAd33gl3323LSi66CPbty0yMkntKS+0z063bkY8rgSGSJbyHlQ/YrIuNL8PJv4SJc6DtgKgjk3zR+jgongHDfg4fvADPDbKWqyIiNVACI4+Ul8Nbb1kCIxCLwccf24yITEm0gGdg5EjrbrFCnbWyVnUFPGtz443w29/CM8/A2WfDrl3hxSa5q7QUuna1OiqVtW8PLVsqgSESqV3vw/QzIf4VaH+yXSk/4b+hUTXrCEVS0agxDPg2nLUIWvaxlqtzLoWyrVFHJiJZSAmMPLJ6tQ0UKycwJkyw+0zWwZg3z1ps9uuX2PbBoDgYJEv2icdtoFn1Snltrr0WHnwQZs6EiRNh+/bw4pPcVF0LVbBZGT16KIEhEgnv4b0/wXNDYMs8GPF7KH7ZrpSLhKntADjzNRh6J6x7wmpjrHs66qhEJMsogZFHKncgCXTqZIUyM1kHIx6HESOsJkIiTjjBuluoDkb2isct0RQsTUrUlVfCY4/BwoUwbhxs1NJWqWTNmuoTGKAEhkgk9m+3q9/zvgwdT4Wz34K+X1VrVMmcRgUw+GaYFIdmXWDWeTD3i7B/R9SRiUiW0F+kPBIkMAYNOvLx4mJ47TXYvTv8GPbuhSVLEl9qANbVYvhwJTCy1fbt8O67yb2nlV1wgS0lWbkSxo7VoFSM9zXPwADo2VOfFZGM2jgTnhsK6/4DJ90DE6ZCyxr+g4qErf1JlsQY9AN4/0GbEfRhhqvSi0hWUgIjj5SUWNeRVq2OfDwWg/37Yc6c8GNYvNgKhiY72C0qsueWlYUTl9RfUD8l0Zom1Zk4EaZOhQ8/hNNPV70Tgc2b7f97z57Vf79HD9i0yZKiIhKi8gPw5i3w8nho3BzOfB0GflezLiR6jZvCiT+Bia9BQQt4ZSIsvsk+syLSYOmvUx4JOpBUddppViQvE3UwglkU9UlgHDhg3S4kuwS1SYYPT20/Y8bAjBmwZ48lMYIZQ9Iw1dRCNRA8vnZtZuIRaZB2rYJpp8PSn0CfL8LkhdAxxV/2IunWaaR9No/7Mrz9M3hpHOxeE3VUIhIRJTDyxL59Ns2/ugRGy5YwenRm6mDMmwfdu8MxxyT3vODqvgp5Zp943OqUtG2b+r6GDYNZs2zZ0BlnaNlQQ5ZoAkPLSERC8v7f4bmT4ON34LR/wql/giat6n6eSBQKWsDI+2H0w/BRiX121/4n6qhEJAJKYKTgo4/g/PPhrruijgSWLYNDh6pPYIDVwVi0CLZsCTeOoNhjsrp1sy4XGtAedtFF1oo0St7X/z2tyYABtpypXTv7XH7wQfr2LblDCQyRiOzfAa9dCa9/zuoMfOpN6HFx1FGJJKbXpXDWQuuKM/tCWHAdHNL6Y5GGRAmMetq8GcaPh6eegr/9Lepoqu9AUlksZvevvBJeDFu3wnvv1W+w65w9TwkMs3MnPPEE/PnP0caxdq11DklnAgOgd2/497+t7e/zz6d335IbSkttdlj79tV/v1s3+72gBIZIGm2ZB88PgzWPwNA7oHi6CnVK7ml9PEx8Ffr/N7z7G5g6Cj5+N+qoRCRDlMCoh3XrrJvCO+/Apz5lSze2b482ppISaNoUjj+++u8PHw5t2oRbB2P+fLuv72C3qCg7XstssHSp3S9caImhqAQJpVQKeNZk6FCbdZPJFr+SPYIOJDW15i0stM+HEhj5yTk32Tn3jnNupXPu+9V8/yrn3Gbn3OKK25ejiDNveA/v3gcvnQ54iM2GwbdAo8ZRRyZSP42bwim/hLFPWT2MF06B9/8RdVQikgFKYCTpvfesAOH69fDii/Dtb9vjweA9KiUlMHAgFBRU//2CApsxEuZgMR63wcgpp9Tv+UHiI+h60ZAFM2q8h+nTo4tj3jwbSNY0sycVztkSkpdfhvLy9O9fslttLVQDPXoogZGPnHONgfuAs4CBwGXOuYHVbPqo9/6kitsDGQ0ynxzYBa9dAQu+AUdPsun3nUdFHZVIenQ/F85abMuhXr8S5n4JDu6OOioRCZESGElYutSSFzt32lKM008/3Jkh6qUPNXUgqay4GFatslsY5s2zJEqbNvV7/ogRdh/1a5kNSkqsHW7r1tHOUIjHrfBmYWE4+4/FbDmWOpI0PGvWKIHRgBUBK733q7z3+4FHgPMjjik/7VgOU0dC6aPWjvKMJ6GwhnVbIrmq5bG2HGrQLbDqr/DCCNixLOqoRCQkSmAk6I03rGsCwMyZhxMXbdtah4YoB91bt1ohxLoSGEEdjDCWkaSj2GPwWqoTCSxZAoMHw7hxmWl/W52DB202TLrrX1RWXGz3Uf2MEo29e2HTproTGD17WgLD+8zEJRnTDajcIHddxWNVXeScW+Kce8w5d2x1O3LOXeOcW+CcW7B58+YwYs1dpf+CF0fAvk0w/kUY9ANwOu2TPNWoAE68AyZMg/1b4cUiWPtE1FGJSAj0lywBs2fb8ovWre3fgwYd+f2g+GRUJ9nB1eu6EhgnnGDtTcMYLK5ebR1OUh3sRv1aZgPv7T0dOtSSTitX2uubacuWwZ494SYwune3z6XqYDQs69bZfSIzMMrKLNkhDc7TQC/v/VBgGlBtuWzv/R+998O998M7d+6c0QCzVvkBeON6mHMJtBsCZy2Co2NRRyWSGUcXw+Q3oO0gmH0RLL4Jyg9FHZWIpJESGHV44QWYNMkq4s+eDccd98ltRo60Tg1RTXVONIHhnA2Iw6g5EMxASUcCY+NG637RUG3YANu22fsZ5QyFMAt4VlZcbLOa9u8P9ziSPYLflT171r6dWqnmrfVA5RkV3Sse+/+891u990FvxAeAelZXamD2rIeXx8M790K/66B4BrToHnVUIpnVojvEZsLxX4W3fwYzzoKyCCuii0haKYFRi8cfh/POg/79bYDVvYZzgGDQHtUykpIS6NjRKvbXpbjYZkosWZLeGOJxaNas7iRKXaJ+LbNB5YTUwIFw9NHRzFCYNw/atau5s026xGI202Pu3HCPI9kjSEgkMgOj8vaSN+YDfZ1zvZ1zhcClwFOVN3DOVf6Ldh6gBe112TgdXjgZti+G0Q/D8F9B45AKGIlku8aTV9A8AAAgAElEQVRNoej3MPIB2DTTupRsWxh1VCKSBkpg1OBvf4NLLrHCktOnQ5cuNW87dKgVOYwygTFkSM3tCCsLruine0A8bx6cfDI0aZLafk48MdrXMhtUTmCEOWumLkFNk0Q+V6kYNw4aNVIdjIaktNQ+V92qq3pQiRIY+cl7fxD4BvAilpj4p/d+qXPudufceRWbXeecW+qcexO4DrgqmmhzgPfw9j3wSgwKO8CkOPS6NOqoRLLDcVfDxDngD8G0MbCq2tVoIpJDlMCoxv/9H1x1FUyYAFOn2lXo2hQWWqeGKAbd5eXw1luJz3zo1g0GDEjvYPHAAVi4MD21EoLXsiEX8iwpsVolHTrY10GnjrfeylwMu3fb8cKsfxFo184ShaqD0XCUltqMsbq627RvDy1bKoGRj7z3z3nv+3nvj/Pe/6TisVu9909V/Psm7/0g7/2J3vvx3vvl0UacpQ7usRapi78Hx15kyYu21XWkFWnAOo6wuhidRsHcq2D+N+CQ1q2K5ColMKr46U/hm9+E88+Hp5+2k+dEFBVZx4aDB8ONr6o1a2DXruSWbsRiMGuWFcdLh6VLratAuga7Ub2W2WLJkiPfz7BmzdRm0SI4dCgzCQywn3HePPj448wcT6JVWlr38hGwWRpqpSpSg91rYdrpsOYROPEuGPMoNGkddVQi2alZFxg/FQbcACvus1oxez6IOioRqQclMCp4D9//PvzgB3DFFfCvf1lNh0SNHGnr+JdleJVuUMsimQRGcXF6aw6kq4BnoKgomtcyGxw8aD/30KGHH+ve3eqwZDKBke73tC6xmCVMZs7MzPEkWokmMEAJDJFqbX7NWqTuXAFnPAWDbgp/vZ9IrmtUAMP+x5J9H71pdTE2vxZ1VCKSJCUwsGUYX/863H03fO1r8OCDyddyCAZ6mV76ENRLqNratTZBzYF0DYjjcSsi2qdPevbXkAt5rlhhM2OqJqSCWTOZ6tQRj1uHiKOOyszxRo2C5s1VB6Mh8F4JDJGUvPcneHkcFLSGSXOh2zlRRySSW3peAmfOhYKWNhNj1YNRRyQiSWjwCYyDB63exe9+BzfeCL/9rQ3uk3X88baWP9OD7pISSxy0TmLWaNu2liRI12Bx3rz0Fnvs2zea1zIb1NQSNxazuhSZSpAF72mmNGsGp5+uOhgNwebNsG9f4gmMnj1h0yZbpibSoJUfhAXXwbwvQ5dxMFn1LkTqrd1gqxnT+TSY+wVY9D0oPxR1VCKSgISG6s65ds65x5xzy51zy5xzo8IOLBPKyqzTyEMPwU9+Aj/7Wf0H4c7ZgC+KBEZ9WpfGYhbrjh2pHX/nTquBkc7BbvBaNsRCniUl0LixFVqtLN2zZmqzaROsXp3ZBAbY0qalS2HDhsweVzIr0RaqgWC7tWvDiUckJ5RthemT4N3fQP/rYdxzUNg+6qhEclvTDjD+Beh7LSy7B2ZdAAd2Rh2ViNQh0bkGvwJe8N6fAJxIHvRj370bzj0X/v1v+PWvrfZFqjMIioqsc8Pu3emJsS5lZfDuu/VLYBQXp6fmwMKFNiU83YPdTL+W2aKkBPr1g6ZNj3y8XTsYPjwzCYz58+0+0wmMWMzutYwkvwUJjJ49E9terVSlwfvoLXixCDbPgVP/Cqf8wtbyi0jqGjWBEb+F4ffBhudh6mjY9X7UUYlILepMYDjn2gJjgT8BeO/3e+8/CjuwMH30EUyaZAOlv/zFuo6kw8iRlhRYtCg9+6vLsmV2vPokMIKaA6kOiIMZJyNGpLafqoqKMvtaZouqHUgqi8Uy06kjHrfZHqecEu5xqjrpJGsdqwRG+MrKLPEYhfrOwFACQxqkdU/C1FHWLjU2E/p8IeqIRPJTv/+y2Rh71lmB3E2zoo5IRGqQyAyM3sBm4C/OuUXOuQeccwk2F81On/ucDdIefdTqX6RLMIjP1NKH+nQgCTRtCmPHpj5YjMehd2/o3Dm1/VTVEAt57twJ779fewLj0CEr5hmmeBwGD068hXC6NGpkM4Neeim6wXVDsH+/zX743e+iOX5pqX222ic4+71bN5sdpwSGNCjew9t325T2NgNg8gLodGrUUYnkt6NjVhejaSd4JWYFc0Uk6ySSwCgATgZ+570fBuwGvl91I+fcNc65Bc65BZs3b05zmOkzezY88wzccQd85jPp3fdRR9nAIFOD7pISS0T07Vu/58di8Pbb8EEKbbDjcZt5km6Zfi2zwdKldl+5hWplo0ZZscswl5F4b695ppePBIqLYd06Wxol4ViyBDZujK5lbdCBJNEle4WF0LWrEhjSgBzab4U6F38fel5qMy9adIs6KpGGoU1f61DSZbz9P3zjeiugKyJZI5EExjpgnfc+mFfwGJbQOIL3/o/e++He++Gd0305Pk28h5tuspPhdC0bqSqThTxLSmDgQCio51LY4mK7r+8sjA8/tEFFWIPdhlbIs6YOJIFMdOp47z3Yti26BEZQB0PdSMIT/H4KPm+ZlkwL1YBaqUqDsX87zJgMq/4Mg2+F0VOgoHnUUYk0LIXtYNyz0O86eOdemHku7E+x6r2IpE2dCQzv/YfAWudc/4qHioG3Q40qJM8+C6++CrfdBi1ahHOMoiLr4LBpUzj7r6y+HUgCJ54IHTvWf7AYDITCTGBk6rXMBiUl0KpV7cUNYzGbqfHhh+HEELynYcyqSUSfPtCrl+pghCl4j99919qZZpoSGCI12LkSXjwVNr8Kox6CoT9OX39yEUlOowIY/iso+gN8+JLVolFxT5GskGgXkm8C/3DOLQFOAu4KL6RwlJdbp5Hjj4cvfSm84wQDv6CTQ1i2bbOlH6kkMIKaAy+/XL+aA/G4tfwcNqz+MdQmSIyE/Vpmi5ISqz3RqJb/lWF36ojHLbk3cGA4+6+Lc/YzvvKK1fuQ9Js3z2bzHDpkhYAzad8+W75S3wSGaqNI3to0G14cCfu3woSXoPeVUUckIgDHXwMTpsLeDTD1VNjSgKYGi2SphBIY3vvFFctDhnrvL/Debw87sHR7+GEbIN5xBzRpEt5xTj7ZBqBhL32oa7lBomIxWL8e3nkn+efG43b8sGazBK9lQ6iD4X3tHUgCQaeOsJZYxOPWfaS+y5LSobgYduyAN96ILoZ8tWMHLF8OF11kX2d6GcnatXafbAKjZ0/rnJLF5ZVE6u/9h+CVYisceOZc6HJ61BGJSGVHjYczX4fGLeHlcVD6eNQRiTRoic7AyGn798Ott9rg75JLwj1Wy5Z2FT3sQXcqHUgqC+pgJDsgLi+3mRFh1kpo1QoGDWoYCYwNG2xWTV3vZ6NGMGFCOJ069u+HhQujq38RmDDB7lUHI/0WLLD7K66wAsCZTmAk20I1EGy/Zk164xGJlC+HN38Ir38eOp8Gk+ZC6+OjjkpEqtP2BJg0D9oPgzmfgbf/R9MCRSLSIBIYDzwAq1bBXXfVPj0/XYJCnmH+XispsSvxXbumtp8+fawNarKDxRUr4KOPwq+VMHJk+K9lNggGkjV1IKksFrNOHStWpD+GsrLoExhdulh9FtXBSL8gGXjqqTBgQO4lMFQHQ/LGwb3w6uWw9E447moY9wIUJthbWESi0awzTHgZelwCi2+E+V+D8gNRRyXS4OR9AmP3bls2cvrpMHlyZo5ZVATbt1tHh7CUlNhgNx31vWIxmDEDDibRJSrsAp6BoiKbmRDma5kNklkSFFanjqgLeFYWi8GcObBnT9SR5Jd586BfP2jf3n5/RJHAcA66d0/ueUpgSF7ZtwlengClj8JJd0PR/dC4MOqoRCQRBc1hzMMw8CZY+UeYcY46lIhkWN4nMH79a+vY8NOfZq6YdzAADGvpQ3k5vPVW6stHArFY8jUH4nFbLjNgQHpiqEmQIMn3ZSQlJXDMMTarpi59+lhNgDASGF26JH91PAzFxbak5dVXo44kf3hvCYzg99OQIVYIeOvWzMVQWmqzxgqTHKu1b2+/b5TAkJz38TvWaeSjN+H0x2Hgjeo0IpJrXCM46S4Y+QBsfAWmnQa79QdKJFPyOoGxfTvccw+ccw6MGZO54w4caIUtwyrkuWYN7NqVvgTG+PF2n8yAOB6H4cOtC0mYBg2C5s0bRgIj0fcz6NQxfXp6O3XE45YwyoZz6dNPt2K7qoORPuvXWzI3SAoGn7dMzsKoTwtVsM+kWqlKzts021oxHtoNxTPg2E9HHZGIpOK4q2H887Cn1LoIbVP1cZFMyOsExt1328yCn/wks8ctKLBODmENutPVgSTQubMVOE10sFhWBosXZ6ZWQtivZTY4eBDefju59zMWsxokCxemJ4aPP7aWmlHXvwi0agWjRqkORjpVXfaVSwkMUAJDctyaR+GVGDTrYt0MOmXJL1sRSc3RMZj4GjRuCtPGwrono45IJO/lbQLjgw9s+cjllydWGDHdiopg0SKbBp9uwYBj0KD07TMWg9deS6zmwJtv2s+VqVoJI0faQD2M1zIbrFhhSaFkEhjp7tSxYIEtMciWBAbYZ3Lhwswucchn8bjNajnxRPu6a1dbspSpBIb3SmBIA+Q9vH0PvHopdCyygU6rPlFHJSLp1G6QtUBuOwhmXQjv/CbqiETyWt4mMO64Aw4cgNtvj+b4RUU2KA1jcLBkiXUOad06ffuMxSxBMGdO3dtmqoBnIMzXMhsk04Ek0KWLbZ+uBEbwno4YkZ79pUNxsZ37T58edST5Yd48m2nVtKl97ZwlzTL1/2rzZti3L7UExqZNsHdveuMSCU35QVjwdVj8PejxWZgwDZomUOhIRHJP86MhNgO6nwdvXAcLb7BWySKSdnmZwFi50lqnXnONFTyMQpjFJ5Opl5Co005LvOZAPA5HH518J4H6yvdCniUlVksk2YKosZgVuUzHgC4eh759EysimikjRliSTnUwUnfokM2yqTprauhQKwhcnoFzrPq2UA307Gn369alJx6RUB3cbVdiV/wOBtwIY6ZA42ZRRyUiYSpoAac9Dn2/Dst/Dq9eBof2RR2VSN7JywTGrbdalftbbokuhp497Sp5ugt5lpXBu++mf1lMy5YwenTiCYxMFnvs2dPqdORzAqNfv8NXxhMVi9nnIR2dOoL3NJs0aQLjxqkORjosX26Ff6u+x0OG2ONr1oQfQ6oJjOB5mYhVJCV7P4SXzoANz8GI38Kwu61rgYjkv0aNYfhvYNj/QOk/4ZWJULYt6qhE8kre/UVdvBgefhi+9S1b4x0V52ywkO5B97JldjU13TMwwAbEixfDli01b/PRR/DOO5kd7Ib1WmaL+s6oSVenjvXr7ZZtCQywz+TKlbB6ddSR5Laaln0Fn7slS8KPIV0JDNXBkKy2422YeirsWAZjn4S+10YdkYhkmnMw4AYY8whsjcO00bDr/aijEskbeZfAuPlmaN8ebrwx6khssLB8uXVCSZd0dyCpLBaru+bA/Pl2n6kCnoGRIy158/HH6d/3Rx9FNy19505Ytap+72erVnDqqaknMDJd0yQZxcV2r1kYqYnHoW1bWyZUWVAIOBN1MEpLbaZXfZcpdetm54S5nMDYutWShZKnNs6EqWNsynhsJnQ7J+qIRCRKPStq3+zdaC2Uty6IOiKRvJBXCYzZs+G55+B734N27aKOxgaE3sMbaWwLXVJiSw2qDkTSYfhwaNOm9gFxMNgdPjz9x69N8FouSPPv/mA5zpgxtv9MW7rU7uubkAo6dWxLYXZi0J3ipJPqv4+wDBxo9VZUByM18+ZZTZFGVX7jt25tBYEzlcDo0aP+S88KC21WXS4nMD77WejfH155JepIJO1WPwLTz7RCfmfOhY4Z/iMpItmpy1g48zWrgfPSGbD+2agjEsl5eZPA8B5uuslOcL/5zaijMUFHh3QufViyxIo9FhSkb5+BggKrOVBXAqN//8wniMJ4Ld9805ZhrF9vg6K3307fvhOV6oyaRGbN1CUet9aazbKwvpxz9jO+/HJmCk3mo7177fdGTbOmMtWJJJUWqoFcbqW6dq19jg8ehE99Cp5+OuqIJC28h2U/h9cug44jbaDSqlfUUYlINmk7wBKbbU6AWefByj9GHZFITsubBMZzz1kxw1tvhRYtoo7GdOhgMyXSWcgzjA4klcVitqTh/WqW6nlvP0sUSw06dIDjj09fAmPuXEvWFBbCCy/YY1EsUygpsaUgvXrV7/mpduooL7dlQdm4fCQQi1kLzrfeijqS3LRokdXNqek9HjrUZiKVlYUbR0NPYDzyiN3Pnm2v+ac/ffgxyVHlh+CN/4ZFN0CPi2HCVChsH3VUIpKNmh9tS8u6Tob4V+HNm6OZ+iuSB/IigVFeDj/4ARx3HFx9ddTRHCmdxSe3bYMPPkh/B5LKYjG7r24wv24dbNwY3WA3Xa/lK6/Yz9mxI8yZAxMnWnIkimUKJSUwePAnp/YnqkkTOOOM+se+fLnV4cjmBEZQB0PLSOon+D8TzGKqasgQS3AsWxZeDPv22e+OdCUwcvGcb8oUmwUzYoR9lkePhssvh/vvjzoyqZeDe+HVz8K7v4b+11uxPrVJFZHaNGllxX2P+wosvQte/zwc2h91VCI5Jy8SGI88YlOk77jDBnTZpKjIkg7pKNwWZgHPwAkn2DKc6gaLwUySTBfwDIwcebhjRn09/bRN3+7Vy66E9uxpj8diMGMGHDiQjkgT4316ZtQEnTrq014ymwt4Brp3t2VLSmDUTzwOxx5bc1em4PMX5jKStWvtPtUERs+eNlNk8+bUY8qkt9+2Dk+XX25ft2kDzz8PkyfDNdfAL34RbXySpLKtMH0irH0CTv4FnPILtUkVkcQ0KoCiP8DQO2H132Hm2XAghAr1Inks5//i7t8PP/yhreH/7GejjuaTgoFhOmYOZCKBUVvNgXjcllyEOQOkNqm+lo88YtO2hwyBmTOPHNDFYjYTIeiykgkbNlhXgnQkMKB+S2DicRtM9e+fWgxhi8Vg1iz7/y7JqWvZV9++Vhg4zFaqqbZQDeRqK9UpU2yWVeW/US1awH/+AxdfDN/5DvzoR7k5s6TB2bUapo2xbgKnPQonXB91RCKSa5yDwTfDqX+FjTNg2umw54OooxLJGTmfwPjTn6xmw1131X8afphOOslmhaQrgdGhQ81XUtMlFoMtWz55RTYet5+nadNwj1+Tk06yQqP1eS3vv9+ufo4ebQP9jh2P/P748fb3JJN1MNKVkEqlU0c8Xn13imwTi8Hu3emtJ9MQbNlivx9rmzVVUGCFgcOcgdGQExjeWwIjFoOjjjrye4WF8PDD8MUvwo9/bImMhpLEcM5Nds6945xb6Zz7fjXfb+qce7Ti+/Occ70yH2UV2xZZK8S9G601Yo+Lo45IRHJZny/AuGdh1yr73bIjgmryIjkoy4cttdu9G26/3TpJnHVW1NFUr1kzmx2SjoHXkiU22K1vG8JEVVdz4NAha2Ea5VKD4LVMNoHxi1/YNO1Jk2zadps2n9ymQwc4+eTMLlNIVwLDOXvPXnopuU4d+/ZZJ5ZsXj4SGDfOkixaRpKcYEZRXe9x2J1ISkvtc9qtW2r7CRIY9VkuFZW5c60ocrB8pKrGjeGBB+C66+CXv7TfVYcOZTbGTHPONQbuA84CBgKXOecGVtnsamC79/544JfA3ZmNsooPXoSXxkKjQjjzVehyeqThiEie6HomxGZB+X6YOgY2zY46IpGsl9MJjN/8Bj78EH760/AH9akoKrLBfyonpeXl1oUhzOUjgW7drBZG5cHismWWMIp6sFtUZIOyRAbq3tu07O98Bz7zGXjyydo71MRi8Prr9nNmQkkJHHPMJ2eD1Ed9OnUsWmQtHaN+TxPRrh0MH64ERrLicUv8nHJK7dsNGWK1erZtCyeO0lKbJZTq7K327aFly9yagTFliiVfL7yw5m0aNYJ777XlkA88AFdckffLpYqAld77Vd77/cAjwPlVtjkf+FvFvx8Dip2L6C/9qr/aOvVWx8GZr0PbqrkWEZEUdBhmv1uaHw2vTITSx6KOSCSr5WwCY/t2uPtuOPtsGDMm6mhqV1Rk9RXeeaf++1izBnbtylz9iao1B4IZJFEPdoPXcvny2rfz3hIXP/4xXHWVTdMuLKz9ObGYFfGcnaHkdzpb4gazZpJZApMLBTwri8Xsc/ixal0lLB63JUatWtW+XfB7JaxZGKWlhwvmpsK53GqlevAgPPoonHtu9TO/KnPOZhTec48959Ofhr17MxNnBLoBayt9va7isWq38d4fBHYAn0j3Oueucc4tcM4t2BxGdde9G2D+1+GoCTBxFrQ4Jv3HEBFp1Qsmvgodh8OcS2D5vVFHJJK1cjaBcc89sGOH1b7Iduko5JmJAp6VxWKwZ49NfwaLvV07K/gXpWAtf22v5aFDNg37l7+0adl/+pOt86/LmDF2hTgTV/kPHrTOBOl6P489NvlOHfG4dfg4JkfOx2Mxe29nzYo6ktzgfd0FPANhdyIpLU29/kUglxIYL71kM6NqWj5Sne9+F37/e3juOeuYtHNnePHlA+/9H733w733wzt37pz+AzTvCrGZcMYz0KSOLJSISCqadoDx0+DYC2Hh9bDwO+CTWBss0kDkZAJjwwb41a/gssui64iRjP797epbOhIYgwalJ6a6VK05kC3FHvv3h9ata34t9++36dcPPAC33GLTshONuXlzS2JkIoGxYoW1g0xnQqq42LqrJDr1PB7PndkXAKNG2VR8LSNJzPvvW5ebRN7jrl2tDkwYnUi8b7gJjClTLPGbbI2mr34V/v53mw0Wi4W3tCdC64FjK33dveKxardxzhUAbYGtGYmuqo7DoXEdU/hERNKhoDmM+Sf0uw6W/wJevRwOlUUdlUhWyckExh132FT/22+POpLENGpkg/9UCnmWlEDv3jZ4z4S2bS3ml16ymRglJdkx2A1ey+oSGHv32rTrRx+15UV33JF8bZRYzApbbtqUnnhrEsaMmmQ6dWzbBitXZsd7mqhmzaxgrxIYiQn+j9TWgSTgXHiFPLdssYKx6UxgbNqU/csr9uyBf//b6u/Up/bH5ZfD44/D4sWWUP7ww7SHGKX5QF/nXG/nXCFwKfBUlW2eAr5Q8e/PAK9431B6tIhIg9aoMZxyLwz7Hyh9FKafCfu3Rx2VSNbIuQTGe+9ZS8yvfAWOOy7qaBJXVGRXN+t70h10IMmkWMwGQTNn2tT9bBnsFhVZkmHfvsOP7dxp9VCeew5+9zu48cb67TsWs/vp01OPszYlJdZ9YMCA9O0zmDWTSB2MXKt/EYjFYOnSvBvMhSIet1lFic7aGjLEisAm08kmEUHHkHQlMIJaGuvWpWd/YXn6aatblMzykarOPx+efdb+7o0dmzszT+pSUdPiG8CLwDLgn977pc65251z51Vs9iego3NuJfBt4BOtVkVE8pZzMOAGGP0wbJkL006D3XnyR0AkRTmXwLj1VmjSxKq155KiIqt7sHhx8s8tK4N3340mgXHokNUbgewZ7FZ9Lbdtg4kTrTbCQw/B175W/32ffLJN+Q77Kn9JCfTrZ7MK0qV9e+s2kUjs8bj9bayrO0W2CRJMyRQrbajicfs8N2mS2PZDhtiAO90tSoNBdzpnYFTeb7aaMsU6Oo0dm9p+YjGYNs1mnZx2mv0tyAfe++e89/2898d5739S8dit3vunKv69z3t/sff+eO99kfd+VbQRi4hEoNelMP5F2LMepp4K2+sxkBDJMwknMJxzjZ1zi5xzz4QZUG3efNNOCr/1LVuznUtSKeS5bJklEjJd72PUKLuCO2OGDRqOPjqzx69JMCV+3jzYuBHGj7eWoI8/bvUvUtG4se1v2jRbux+WdHYgqSwWs8KrdXXqCLpT1NUZIducdJLVatAyktodOABvvJFc0jGsTiQNMYGxbRs8/zxceqn9TknV6NH2e3jfPltGFUatEhERyVJHjbMOJa4App0OG6ZGHZFIpJKZgfEtbKpnZG6+2a6O13d5QJSOOcauxtUngZHpDiSBpk3tZBmyZ/YFHH4tn3rK4lu50qZZn39+evYfi9lV6FUhXe/budP2HVYCo65OHd7nXgHPQKNGMGGCJTC0Gr5mb71lg91k3uNgqUkYCYwWLSzxlA7dutnsoXTPFEmnxx6zJFIqy0eqOukk+39dWAhnnJFaTSUREckx7QbBma9Dqz4w42xY9beoIxKJTEIJDOdcd+Bs4IFww6nZnDk2SP3e92yqfC4aObJ+J50lJZZMiKKFaTBlP9sGu0VF8MorNq162rTDcaZD2MsUli61+zASGKNH27KU2mJfs8ZaO2bbe5qoWMzqH6xYEc7+337bkmO5LJkCnoHWra1QcLqv7gcdSJItqFuTwkKbgZfNMzCmTLGOScOGpXe/J5xgnUk6drSuQ2HX6hERkSzSohtMnG0zMuZeBSV36GqONEiJzsC4F7gRqLG8m3PuGufcAufcgs2bN6cluMqeeMJOWq+7Lu27zpiiIivGtjXJRnAlJVbssaAgnLhqc/750KULTJ6c+WPX5qKLoE8fO4EfPTq9++7bF7p3D2+ZQpgzapo1s3XytcUeJNFyNYFRXGz3Ybw/s2fDqafa5/7223P3vCAeh06doFev5J4XRieS0tLDhTfTJZtbqa5dazMlrrgifUmbynr1ss9pr17WTlxERBqQJm3gjGeh9+eh5FaIXwPlB6OOSiSj6kxgOOfOATZ579+obTvv/R+998O998M7d+6ctgADP/85LFhgU5FzVTBgnD8/uedF0YEk0K+f1ZmI6vg1ueIKSwal+won2KAjFrNZDOnuyAA2QGzZMvnBZaJiMVtCUFOnjnjcEh3Z9p4m6rjjbECc7gTGiy/CpEm2ROmyy+C22+C7383NJEawRCjZAfSQIVYksiyNLeeDGRjplM0JjEcesc/MZZeFd4yuXa071JQp4R1DRESyVONCOPWvMOgWeO8BmHU+HNgVdVQiGZPIDIwxwHnOudXAI+b2E0wAACAASURBVMAE59zfQ42qGs7ZwCKXnXKK/RzJ1MHYtg0++CB3B5u5Khaz174+XWPqUlICgwdbPYcw1LUEJtnuFNkmSDBNn271PtLhiSfg3HNt2v+sWfD3v8M3v2mJ069+NX3HyYSdO22ZUn1m2AwZYj/rsjRVO9q3zxKgYSUwsjG5NGWKvfbHHx/ucTp2zO2EvoiIpMA5OPEOKPoDbHgRXh4HezdGHZVIRtQ5hPLe3+S97+697wVcCrzivb8y9MjyUJs2thQkmQRGVAU8G7pgmUK662B4b+9pmB1lgk4d1cV+8GDy3SmyUSwGH30ECxemvq8HH4SLL4bhwy0p0qWLJZd+9SsrHHz//XDllVaUMRe88YZ9zurzHqe7E8natXYfRgKjrMxquWSTt9+2pGeq3ZBEREQScvw1MPZJ2LHM2qzuiLTfgkhGhHQNWGoycqQlMBK9chgMJDLdQrWhO/po68qQ7mUKGzZYDZQwE1JBK9jqOnUsXQp79+Z+AmPCBLtP9f257z74whfs9Zo61bocBZyDO++Eu++2ZQEXXWQzCrJdkCCtz3vct68VDE5XAiPdLVQDQU2NbFtGMmWKJb8uuSTqSEREpMHodjbEZsKhvTB1NGycEXVEIqFKKoHhvZ/hvT8nrGAagqIiu2q4enVi25eU2NX0rl1DDUuqEYtZsbx0DlozNaMmFrOr31U7deR6Ac9Aly6W1EslgfHTn8I3vmEFO595Blq1qn67G2+E3/7Wtjn7bNiV5ctM43GrE9KxY/LPLSiwWWLp6kQSVgIj2F82JTC8twRGcbElQEVERDKm43A4cy407wrTz4T3H4o6IpHQaAZGhgUDx0SXkZSU2GA3jGr2UrtYzGYrvP56+vaZyQQGfHKAH4/bwLZPn3CPnwmxGLz6qr1HyfAebroJfvADuPxy+Ne/rKhpba691paazJwJEyfC9u31jztsQQHP+kpnJ5LSUvvd1a1bevYXyMYExrx58P77Wj4iIiIRadULznwNOp8Or38eSnK4nZpILZTAyLAhQ2yKdiIJjPLywwkMybwzzrDlGOmsg1FSYrNp6nN1PBlBp46qsde3O0U2isWsDsKrryb+nPJym3Xxs59Zcc6HHkq8mOmVV8Jjj1ndjfHjYdOm+sUdpg0bbOZNqgmMDz6wIrapKi212QhNm6a+r8rat7dOPmvWpHe/qZgyxX7OCy+MOhIREWmwCtvBuOeh9xeg5DaY+0U4tD/qqETSSgmMDGvSxDpAJJLAWLPGpqsrgRGN1q2tZkk662BkKiHlnE1lf+WVwx00du2qf3eKbHT66bbkIdH35+BBuOoqWw7y3e/C736XfCeYCy6wpSQrVtjxgyKV2SKV+heB4POZjlkYYbRQBft8Z1Mr1YMH4dFHrZNNmzZRRyMiIg1a40I49S8w5Mfw/t9gxmTY/1HUUYmkjRIYESgqsk4BBw/Wvp06kEQvFoP5863jRaoOHrQuBZkqyFq1U8fChTYDIV8SGK1awahRiSUwysqssOJDDx0uzFnfWSgTJ1rBzw8/hNNOg5Ur67efMMTjltQZNqz++0hnJ5LS0sMFN9MtmxIYL79sM3K0fERERLKCczDkVhj1IGyeA9PGwK7VUUclkhZKYERg5Ehbt//WW7VvFwwgBg8OPyapXixmg/4ZM1Lf14oVNpDOVEKqaqeOoIDniBGZOX4mxGKWmKltucPu3XDeefDvfx9ujZrqEpoxY+wzsWePzcSo6/9ypsTjloBo3rz+++ja1QoHp5rA8D68GRiQXQmMKVOgbVs466yoIxEREamk9+dg/FTY84G1Wd06P+qIRFKmBEYEEi3kWVICvXvbUgaJxsiR0KJFeupgZHpGzVFH2WA2iD0et+KdnTtn5viZEIvZQHn69Oq/v2MHTJpkSZw//xmuuy59xx42DGbNsmUoZ5xhM3WiVF5uMaQ6w8Y5+4ym2olkyxbr4BNmAmPTpuSLuKbbnj3wxBPwmc+kv9aHiIhIyo4aZ8U9GzeHl86AdU9GHZFISpTAiECfPnaFM5EEhpaPRKuw0Aan6aiDUVJiRUEHDEh9X4kqLoY5c2yQl2p3imw0YoQtJanu/dm82WahxOPwyCPwxS+m//gDBtjr27atHWvmzPQfI1HvvmsJm3S8x0OG2KyS8vL67yMosBlmAgNg3bpw9p+oZ56x+jJaPiIiIlmr7QBrs9p2MMy6EJb9XB1KJGcpgREB52yQUVsCo6wM3nlHCYxsEIvB8uWpD5RKSqBv37pbdqZT0Knj8cdtun2+JTCaNIFx4z6ZwPjgA0s8vf02PPkkXHxxeDH07g2zZ8Oxx8LkyfDcc+EdqzbpKOAZGDLEBuWpdPkIlneElcAIamtEvYxkyhQ45hgYOzbaOERERGrV/CiIzYBjPw2LboD4V9ShRHKSEhgRKSqyjhC7dlX//WXLrHuEEhjRi8XsPtVlJFHMqBk71oo6/uxn9nW+JTDA3p+VKw8Ptt9/3+pSrFsHL7yQmboE3brZcpKBA+H88+Ff/wr/mFXF47bc7IQTUt9XOjqRhJ3ACPYbZQJj2zZLWF16qc2uEhERyWoFLeC0f8Kgm+G9P8H0SVC2NeqoRJKiBEZERo606dlvvFH999WBJHsMHmx1I1JJYOzaBatWZa4DSSDo1LF0qQ2wUulOka0qJ5iWLbPOIB99ZF+fcUbm4ujUydrWnnqqDWj//OfMHRssgTF8eHoG0kHh4FQTGC1a2HK5MHTrZrPZokxgPP44HDig5SMiIpJDXCM48U4Y9RBseQ1ePBV2LI86KpGEKYERkaATRE3LSEpKrP5Cv36Zi0mq16iR1ZJ46aX6LxcMulREkZAqLrb7oUNtQJlvBg6Eo4+G+++3GSfl5VaLIopuK23bwosvWlLl6qut60kmlJXB4sXpm2HTurUtjUk1gdGjR+odX2pSWGgdU1JZ5pKqKVOgf//8TAyKiEie630lFM+Agx9bh5IP01DwTSQDlMCISOfONkCoLYExcKBN/5foxWKwYYNd4a+PKGfUBDMU8nH5CNgAubgY5s6Fli2tHkWUrYdbtICnnoJPfxr++7/h5z8P/5iLF9tMgHS+x6l2IgmzhWogylaq69ZZouzyy8NL0oiIiISq8yiYFIcWx8L0ybDi91FHJFInJTAiVFshT3UgyS5BEqC+3UhKSmxw3atX2kJKWFERXHihDbTy1bXXwjnnWPLi+OOjjsbaaT76qL3uN98c/iA7nQU8A0OGWGeTsrL6PT/fExiPPGIzsvL5/5WIiDQALXtam9Wuk2H+tbDgW1B+MOqoRGqkBEaEiors5PvDD498fNs2WL9eCYxs0rMnHHdc/etglJTYrIBGEfyPa9IEnngiv7skjBkDTz9tnUCyRUEB3HuvDXJ//ONwjxWPWyeM7t3Tt88hQ6yQcH1mHe3bBxs3Hu4UEpYggRFFJ7gpU+x3eDYkzERERFLSpDWMfRL6Xw/v/hpmngv7d0QdlUi1lMCI0MiRdl91FoYKeGanWAymT4eDSSalvdeMmoaqRw/4+tfhr3+1VrxhicfTv0QolU4kQcvhTMzAKCuDzZvDPU5Vy5bBokWafSEiInmkUWM45RdQ9EerhzFtNOxaFXVUIp+gBEaEhg2zjgFKYOSGWAx27oT585N73ocfwtatej8bqptusroYt9wSzv63b7elHulOYPTrZ4Uy65PACAprZiKBAZlfRjJlis2m+uxnM3tcERGR0B3/FZgwFfZugBeGw4ZpUUckcgQlMCLUooUNaqtLYLRvb1PCJXuMH2/F+pKtgxEUQsx0C1XJDp07ww03WMvNZJNfiQj2me4ERkGBFRKuTwIjSCiEncAIlqhkMoHh/x97dx4fVXX/f/z1SQg7yL4TIgjIEkRBsGpVICho3W2rrVtbtd+qba1trXtxq9paxVbbitbtV5dqXcCdRXCjElbZUUQImyzKKntyfn+cOyWESTKTzMydSd7Px+M+ZubOnXs/M3cyOfOZcz7H+QTGsGF+9hsREZEap+0QOGU6NOwEU0bAovvCGa8pEoUSGCEbNMh/ASkp2b9u3jz/ZVeV7dNLy5a+10y8dTDUo0auvRZatYIbb0z8vgsL/WfFwIGJ33dVZyIpKvIxdeyY+JhKC6MHxrRpsGyZho+IiEgN16QbDJ8Knc6B2b+FqT+EfTvCjkpECYywDRoEmzfD0qX+tnMwf76+7KarggKYOhW++Sb2x8ybB+3b+wSI1E5NmvjZSCZOrHoh2PIUFsLhh8MhhyR2v+A/h9as8YWF41FU5Hsn1KuX+JhKa97cz+6TygTGs8/653XOOak7poiISChyGsPxL8ARd8OK52H8sbD9i7CjklpOCYyQRQp5TpvmL1es8HUWlMBITwUFsHevn64zVirgKQD/939+lpQbb0xcL0znklPAM6KqhTxTMYUq+F4eqZxKdd8+Pz3u6adD06apOaaIiEiozKDP9XDSG/DNCl8X48sE/xojEgclMELWq5f/BTFSByPSXVtfeNPT8cf7X19jrYOxbx8sXKjzKVC/vp9OtbAQXn01MfssKvLTldbWBAb440SKhibbpEmwfr2Gj4iISC3UYSSMmA4N2sPkk2HR/aqLIaFQAiNk2dl+7HokgRH5otC3b3gxSfkaNIBjj419GMDSpX6aRyUwBOCii/xwj5tuguLi6u8v8rmRrARGhw5+mEY8CQznUp/ASFUPjGef9UN1Tj01NccTERFJK00Og5P/C53Ogtm/hv9epLoYknJKYKSBQYNgzhz/RXfePMjL82PmJT0VFPjztWFD5dtqBhIprU4duOsuWLQI/t//q/7+Cgt9j6Bkvb/M/L7jSWBs3Ai7du2fISTZcnN9r4idO5N7nJ074eWX4bzzkl/boyYzsxZmNsHMPgsum5ezXbGZzQmWcamOU0REypHTBI5/EfrdCcufhQnH+6ElIimiBEYaGDQI9uzxX3YjM5BI+ioo8Jfvvlv5tvPm+V42vXolNybJHGefDUcfDb//vU9aVkdhoZ8Zp27dxMQWTX6+LyxceqakiqRqCtWIyHFWrUrucV57DbZv1/CRBLgemOSc6w5MCm5Hs9M51z9YzkhdeCIiUinLgr43wYmvwfbP4a2jYPWbYUcltYQSGGkgUsjzgw9gyRINN0h3Awb4buSx1MGYNw+6d/f1D0TA92q4+27/Rf8f/6j6fvbtgxkzkjd8JCI/3xcWjrXORGS7VCcwkj2M5Nln/ZCaE09M7nFqgTOBp4LrTwFnhRiLiIhUR8fT4JQZ0LAzvHcazLkeSvaFHZXUcEpgpIFOnfyUg0895cfFK4GR3rKzYciQ2OpgaAYSiWbYML/ceadPDlTFwoWwY0dqEhgQ+zCSVPfAiAxVSWYCY9MmePNNOP98//cv1dLWObc2uP4l0Lac7eqb2Qwz+9jMlOQQEUlXTbv7uhiHXQEL74VJQ2DH6rCjkhpMCYw0YOa/hGgGksxRUABffAHLlpW/zfbt/n6dT4nm7rt9vYgHHqja45NdwDMiUlA4ngRGw4bQokXyYiqtY0f/GZrMBMZLL/npkzV8JDZmNtHM5kdZziy9nXPOAeWVsO/inBsI/AAYbWbdyjnWFUGiY8aGWAoTiYhI4tVpAIMegWOfgU2z4a3+sOadsKOSGqrSBIaZdTazyWa20MwWmNkvUxFYbRP5ElK3rh9yIOktUgejomEkCxb4SyUwJJqjj4ZzzoH77vOJjHgVFvoZQg47LPGxldakiS8sHE8CIzfXJxVSoW5daN8+uQmMZ56Bnj3hqKOSd4yaxDlX4JzrG2UZC6wzs/YAweX6cvaxOrhcBkwBjixnuzHOuYHOuYGtW7dOyvMREZEY5f3ADymp3w6mjIRPboGSBEy7JlJKLD0w9gG/ds71Bo4BrjKz3skNq/aJJDB69YKcnHBjkcr16OF/+a0ogaEZSKQyd94J33zje2PEq7DQf26kIlEQz0wkqZxCNSKZU6muWgXvved7X6QqKVPDjQMuCa5fAowtu4GZNTezesH1VsBxwMKURSgiIlV3yOFwyjTo+iNYcCe8WwA711b+OJEYVZrAcM6tdc7NCq5vAxYBHZMdWG1z9NH+Ul92M4OZ74Xx7rvlz84wbx40auR/vRaJplcvuOQSePhhWLky9sd9842fGSTZw0ci8vN9geFYZk0JK4ERa5HReD3zDDin4SMJdA8w3Mw+AwqC25jZQDN7LNimFzDDzD4BJgP3OOeUwBARyRR1GsIx/4RjnoSvpvkhJV/GUDxOJAZx1cAwszx8N85pUe7TONRqaNYM/vxnuPrqsCORWBUUwFdfwSefRL9/3jxfPyBLlWakAqNG+S/It90W+2NmzfIFf1OZwCguhkWLKt5u1y5Yty68HhiuvGoKVbRtm/9cHjYs+UN1agvn3FfOuWHOue7BUJOvg/UznHOXBdenOufynXNHBJf/DDdqERGpkq6XwCnToW5LeHc4zB2lWUqk2mL+amVmjYGXgGucc1vL3q9xqNV37bWp+0Ii1TdsmL+MNozEOc1AIrHJzYUrr4QnnoDFi2N7TKSAZ6TnVrLFOhPJqlX+MowExu7dkOjc+ejRfp933ZXY/YqIiNQazfrAKYWQdyHMvw0mngDbPg87KslgMSUwzCwHn7x4xjn3cnJDEskM7dtD797RExhfful7ZyiBIbG48UY/c8ctt8S2fWGhnz60bXkTUCZY9+6+WGZlCYxIHYrI1KapEkmYJLIOxsaN8Kc/wdlnw+DBiduviIhIrZPTGI59Go59FrYshLeOgKWPJr7rpNQKscxCYsA/gUXOufuTH5JI5igogA8+OLg2QOSLnhIYEovWreHXv4b//AdmzKh8+0gBz1TJyfH1OipLYETqUITRAwMSm8C45x5fa+TOOxO3TxERkVot7wI4dR60HAyFV8D7Z8GuqJNRiZQrlh4YxwEXAUPNbE6wnJrkuEQyQkEB7NwJ//3vgesjM5AogSGxuvZaaNXK98aoyPr1sHx56nsFxDITSVGRL3DbMcVlniM9PhKVwFi5Eh56CC6+2PeyEhERkQRp1BmGToCj7oe178AbfWHVa2FHJRkklllIPnTOmXOun3Ouf7C8mYrgRNLdiSdCdvbBw0jmzfNDTFq1CicuyTxNm/rkxYQJfnab8kTqX6S6Xk5+PqxeDV9/Xf42RUXQrh3Uq5e6uACaN/cz/iQqgXH77b5X66hRidmfiIiIlGJZcPivYMQMaNAB3j8Dpl0Be7eHHZlkAM2PIFINTZv6L5LREhjqfSHx+tnPoHNnuOGG8oeFFhb6mW2OOiq1scVSyDOMKVTB9/qIzERSXUuWwOOP+3OR6loeIiIitUqzvnDKNOj9O/j8MT/d6ob/Vv44qdWUwBCppoICmD4dtmzxt/ftg4ULlcCQ+NWv73/1LyyEsWOjb1NY6KfnbdQopaGldQIDEpfAuOUWaNCg8qE8IiIikgDZ9aD/PVDwHrh9MPF4+OQWKN4TdmSSppTAEKmmggIoKYEpU/ztpUt9UU8lMKQqLr4YDj8cbroJiosPvM+51BfwjOjQwQ/VKC+B4Vz4CYxIEdGqmjkTXnzRF1Rt0yYxcYmIiEgM2nwbTp0LeRfBgjvh7aNgw9Swo5I0pASGSDUdc4yfAjMyjEQzkEh11KnjZ75YuBD+9a8D7/v8c9i0KZxpPc38e7q8BMbGjbBrV7gJjPXrfVHdqrrxRmjZ0icwREREJMVymsK3noQTX4O9W2HC8TD9StizJezIJI0ogSFSTXXrwgkn7E9gzJ3raxT06hVuXJK5zjkHBg6EW289cIreadP8ZRg9MMDPRDJ/fvT6HJHhG2EmMABWrara4ydPhvHjfRKjadPExSUiIiJx6vgdOG0h9PwlLH0E3ugFRS+VXyBMahUlMEQSoKAAFi/2szTMmwc9evhx9CJVYQZ33+2TAo88sn99YaHv7RPW1J75+bBtW/ShGpEERliFLyMJjKrUwXDOF07t1AmuvDKxcYmIiEgV5DSGAQ/AydOgflv48Dx4/0z4JkFTjknGUgJDJAEKCvzlpEmagUQSo6AAhg71w0m2bfPrCgthwAA/zCQMkff13LkH3xdJaoTdA6MqCYyxY33vllGjfCFVERERSRMtB8Ip0+HI++DLSfBGb1g8GkqKK3+s1EhKYIgkQH4+tG4Nr74Ky5YpgSGJcffdsGEDjB4Ne/bA7NnhDR8BP/sJRK+DUVTke4e0aJHamCI6dfI9V+JNYBQX+4KpPXvCJZckJzYRERGphqw60OvXcNoCaH0CzPoVjD8Gvp4ddmQSAiUwRBIgK8v/Wh6Z+lIJDEmEQYPg7LPhT3/yNRp27w6ngGdEkyaQl1d+AiM31ycRwlC3LrRvH38C41//8gVT77wzvJ4tIiIiEoPGeXDSG3Dc87CjCN45Gmb8EnZ/FXZkkkJKYIgkSGQ6VVACQxLnzjvhm2/gssv87TB7YED5M5GEOYVqRG5ufAmM3bvh97/3w3LOPTd5cYmIiEiCmEGX78N3FkO3y+Czh2BcN1h0HxTvrvzxkvGUwBBJkEgdjEaN4NBDw41Fao7eveHii/3sGm3ahJ8k6NcPliw5cHYUyMwExiOP+Nodd98dXs8RERERqYK6zWHQP2DkJ9DqWJj9W3j9cFjxb81WUsMpgSGSIHl50K2brxOQpb8sSaBRo/wQiUGDwv+inZ/v60YsXrx/3a5dsG5d+iQwYmm3bNvme7cMGbI/+SgiIiIZpllfGPImDBkPOU3ho/Nh/Ldgw0dhRyZJohG/Ign07LOQkxN2FFLTdOkCb7wBHTuGHcmBM5EccYS/vmqVv0yHBMauXb7waZs2FW87erTfTr0vREREaoD2w6HtLPjiaZh7E0w4HjqfC/3vgSaHhR2dJJB+JxZJoEGD4Mgjw45CaqKCAujVK+wooHt33xukdB2MyLCNdEhgQOXDSDZuhPvug7POCrcoqoiIiCRQVjZ0+xGc/hnk3wZr3/bTrs78lQp91iBKYIiISMxycnwiJVoCo0uXcGKKiDWBcc89sH27H0IiIiIiNUydRpB/q09kHHoJfPoXGHsozLkedq4LOzqpJiUwREQkLmVnIlmxwg/DCHuISySBUlECY9UqeOghuOgi6NMnNXGJiIhICBq0h8GP+kKfHUbCwj/C2C4w/SrYvjzs6KSKlMAQEZG49OsHq1fDpk3+dlERtGsH9eqFG1fz5n4WoIoSGLfd5ot8jhqVsrBEREQkTM36wvH/9lOvHnohfP4ovHYYTL0YNi8IOzqJkxIYIiISl0ghz0gvjHSYQhV8L5CKplJdsgSeeAL+7//8rEEiIiJSizTtAYMfgzOWQY9fwMqX4M2+8P5ZsHFa2NFJjJTAEBGRuJSeiQTSJ4EBFScwbrkF6teHm25KbUwiIiKSRhp2ggH3w5kroO+tsP59GH8MTBoGX06MbT52CY0SGCIiEpcOHfxwjXnz/P/4TEhgzJwJL74I115b+RSrIiIiUgvUbwX9bvOJjCPvg62L4N3h8FoPWHA37FgTdoQShRIYIiISF7P9hTw3boRdu9IrgbFunY+ptBtvhJYt4de/DicuERERSVM5TaDXr/3QkmOegoYd4JMbYWwuTDkdVr4KJXvDjlICSmCIiEjc8vNh/nw/AwmkVwIDYOXK/eumTIHx4+GGG+CQQ0IJS0RERNJddn3oejEUvAff+RR6/RY2zYQPzoZXO8Ps62DL4rCjrPWUwBARkbjl58O2bfDBB/52uiUwIsNInPOJi06d4Morw4tLREREMkjT7tD/bjizCE4YB62OgcX3wxu9YMLx8PnjsGdz2FHWSnXCDkBERDJPv37+8vXX/WW6JjDGjYOPP4ZHH4UGDcKLS0RERDJQVh3odLpfdn4JXzwNn/8Tpv0ECq+A1sdDh9Og42nQtJcfZytJpR4YIiISt759/eX770PDhr6+RDro1Mm3HYqKoLjYzzjSowdcemnYkYmIiEhGa9AOel8H31kMJ/8Xel0HezbBnOvgjT4writMvxrWvAX7doYdbY2lHhgiIhK3Jk0gLw+WL4fDDkufHxzq1oX27X0C45lnYMECeOEFqKP/diIiIpIIZn5ISatjoP8f4JuVsOZNWPMGLHsCPnsYshtA22G+Z0bbYdCkG1gG9x0o3gNb5sFXMyDvAshpGlooMTXpzGwE8CCQDTzmnLsnqVGJiEjay8/3CYx0GT4SkZsLn30G774LAwbAueeGHZFEmNl3gVFAL2CQc25GOdup3SEiIpmhUWfo/lO/FO+CdVN8MmP1G7AmGGub0xSaHwktBkDzo/xlk+6QlR1q6FGV7IUtC3yy4usZ8PVM2DwXSvb4+5v2hLYnhRZepQkMM8sGHgaGA6uA6WY2zjm3MNnBiYhI+srPh9deS88Exgsv+OuPPAJZGfyDRw00HzgHeKS8DdTuEBGRjJVdHzqM8MuAv8DWxbBxqk8CfD0LPvubT3IA1GkEzftD8wHQ4iho1g8adoR6rVLTW6N4N+xcCztXw7bP9icsNs2Bkt1+m5xDfLKl5zXQciC0GAiN8pIfWwVi6YExCFjqnFsGYGbPA2cCakiIiNRi+fn+Mh0TGABDhsDw4eHGIgdyzi0CsIrHHKndISIimc8MDunll24/8etK9sHWRT6Z8fUsP03rsn/Cp38p9bg6UL8tNGgP9dv5y9JL/bZ+GwCcn3INF+W28zU6dqyGnWt8omJHcLlzDezeeGC8dRr7ZEWPq32iouVAaNw17Ya+xJLA6AisLHV7FTA4OeGIiEimGDDA/2/u0SPsSA4UiecPf0if2hwSF7U7RESkZsqqA83y/dL1Er+upNj3gNiywPeI2LU26BmxFnashK8LYdcG9icpqsJ84qNhR2jUBVodCw06+NsNOkDjQ/2QljRLVkSTsLJmZnYFcAVAbrr9HCciIgnXvTvMmQN9+oQdyYEuvhiOOWZ/DxFJLTObCLSLctdNzrmxCT6W2h4i/AoPQgAAIABJREFUIpLZsrLhkMP9Up6SvbBrPez6EnauA1dc6lca80u02zmH+CRF/XY+eVIDxPIsVgOdS93uFKw7gHNuDDAGYODAgdVJD4mISIbo1y/sCA5Wr56SF2FyzhVUcxcxtTuCY6ntISIiNV9Wjk9ENOwYdiShi6WPyHSgu5kdamZ1gfOBcckNS0RERGoptTtEREQkqkoTGM65fcDVwDvAIuAF59yCZAcmIiIiNYuZnW1mq4BvAW+Y2TvB+g5m9iao3SEiIiLli2kgjHPuTeDNJMciIiIiNZhz7hXglSjr1wCnlrqtdoeIiIgcJP3LjIqIiIiIiIhIracEhoiIiIiIiIikPSUwRERERERERCTtmXOJn3XMzDYAKxK+Y2gFbEzCfqVyeu3Dodc9HHrdw6HXPTxlX/suzrnWYQVTFUlse4Dem+lM5yZ96dykJ52X9FXbz01MbY+kJDCSxcxmOOcGhh1HbaTXPhx63cOh1z0cet3Do9e+Ynp90pfOTfrSuUlPOi/pS+cmNhpCIiIiIiIiIiJpTwkMEREREREREUl7mZbAGBN2ALWYXvtw6HUPh173cOh1D49e+4rp9UlfOjfpS+cmPem8pC+dmxhkVA0MEREREREREamdMq0HhoiIiIiIiIjUQhmTwDCzEWa2xMyWmtn1YcdTW5jZcjObZ2ZzzGxG2PHUZGb2uJmtN7P5pda1MLMJZvZZcNk8zBhronJe91Fmtjp4388xs1PDjLEmMrPOZjbZzBaa2QIz+2WwXu/5JKrgddd7Pgq1PdKH/kemL32epy8zq29mhWb2SXBubgvWH2pm04LPtn+bWd2wY62NzCzbzGab2evBbZ2XGGREAsPMsoGHgZFAb+ACM+sdblS1yhDnXH9N65N0TwIjyqy7HpjknOsOTApuS2I9ycGvO8ADwfu+v3PuzRTHVBvsA37tnOsNHANcFXyu6z2fXOW97qD3/AHU9kg7T6L/kelKn+fpazcw1Dl3BNAfGGFmxwD34j/zDwM2AT8JMcba7JfAolK3dV5ikBEJDGAQsNQ5t8w5twd4Hjgz5JhEEso59z7wdZnVZwJPBdefAs5KaVC1QDmvuySZc26tc25WcH0b/h94R/SeT6oKXnc5mNoeaUT/I9OXPs/Tl/O2BzdzgsUBQ4H/BOt1bkJgZp2A04DHgtuGzktMMiWB0RFYWer2KtTgShUHjDezmWZ2RdjB1EJtnXNrg+tfAm3DDKaWudrM5gbdltXtNYnMLA84EpiG3vMpU+Z1B73ny1LbI/3p8yLN6PM8/QTDFOYA64EJwOfAZufcvmATfbaFYzRwHVAS3G6JzktMMiWBIeE53jl3FL4L7VVmdkLYAdVWzk8ZpGmDUuPvQDd8d8u1wJ/DDafmMrPGwEvANc65raXv03s+eaK87nrPS0bT50X49Hmenpxzxc65/kAnfM+yw0MOqdYzs+8A651zM8OOJRNlSgJjNdC51O1OwTpJMufc6uByPfAK/oNPUmedmbUHCC7XhxxPreCcWxf8wy8BHkXv+6Qwsxx8Y/cZ59zLwWq955Ms2uuu93xUanukP31epAl9nqc/59xmYDLwLaCZmdUJ7tJnW+odB5xhZsvxwxOHAg+i8xKTTElgTAe6B5VZ6wLnA+NCjqnGM7NGZtYkch04GZhf8aMkwcYBlwTXLwHGhhhLrRFpcAXORu/7hAvGev4TWOScu7/UXXrPJ1F5r7ve81Gp7ZH+9HmRBvR5nr7MrLWZNQuuNwCG42uUTAbOCzbTuUkx59wNzrlOzrk8/P+Wd51zP0TnJSbme3Slv2BKt9FANvC4c+6ukEOq8cysK77XBUAd4Fm97sljZs8BJwGtgHXA74FXgReAXGAF8D3nnApOJlA5r/tJ+K70DlgO/LTUOF5JADM7HvgAmMf+8Z834sdN6z2fJBW87heg9/xB1PZIH/ofmb70eZ6+zKwfvhhkNv6H6xecc7cHbfzngRbAbOBC59zu8CKtvczsJOA3zrnv6LzEJmMSGCIiIiIiIiJSe2XKEBIRERERERERqcWUwBARERERERGRtKcEhoiIiIiIiIikPSUwRERERERERCTtKYEhIiIiIiIiImlPCQyRGsLMfmxmn5nZHjPbnOB955nZqGB6JxERERG1PUQk5ZTAEKkBzKwDMAaYCgwFChJ8iDzg94AaESIiIqK2h4iEok7YAYhIQnQHsoGnnHMfhh1MrMysnnNud9hxiIiISNzU9hCRlFMPDJEMZ2ZPAlOCm5PMzAXrMLMrzOwTM9tlZhvN7J9m1qLM4682s/+a2ddmttnMPjaz00rdfxIwObg5Idi/C9YTXB9VZp95wfpLS8dpZqvM7FtmNtXMdgJ/LHV/pbGKiIhI+NT2EJGwKIEhkvnuAH4RXL8K+BZwh5ndAzwMTATOAH4LjADeMrPsUo/PAx4Dvgt8H5gBvG5mI4L7ZwX7JTjOt4JlVhViPQR4HngOGAk8CxBHrCIiIhI+tT1EJBQaQiKS4Zxzn5vZouDmQufcx2aWh/9HfJtz7vbItmb2KfAhcDrwavD435S6PwuYBPQAfga87ZzbamYLg00WOec+rka4jYELnXNjSx0z5lhFREQkfGp7iEhY1ANDpGYajv/7fsbM6kQWYBqwDTghsqGZDTCz181sHbAP2Bs8vmcS4toLvF7VWEVERCRtqe0hIkmnHhgiNVOb4HJpOfe3BDCzzvhfPRYCPweK8A2JO4BeSYhrg3OuuMy6mGIVERGRtKa2h4gknRIYIjXTV8HlycCmCu4fgR8b+j3n3KrInWbWMI5j7QbqlllX3j9+V0EslcUqIiIi6UttDxFJOiUwRGqmCUAJkOucm1DBdpHGwt7ICjPrARwHrCq1XWS6sQZR9rEC6Ftm3WlRtqturCIiIpK+1PYQkaRTAkOkBgqKa90LPGRmPYH3gF1AZ/y4z8ecc5Pxlbf3AU+b2Z+B9sBt+O6cpWvkfBps92Mz+xrfqFjinNuGr+x9s5ndBHwMfBu4IAmxioiISJpS20NEUkFFPEVqKOfcjcAV+EJULwBjgd/hu0p+FmyzAPgh0AUYB1wHXA+8X2ZfXwFXA0fg/8lPBwYEd98NPBTc/yp+/OpFiY5VRERE0pvaHiKSbOZctGFhIiIiIiIiIiLpQz0wRERERERERCTtKYEhIiIiIiIiImlPCQwRERERERERSXtKYIiIiIiIiIhI2lMCQ0RERERERETSnhIYIiIiIiIiIpL2lMAQERERERERkbSnBIaIiIiIiIiIpD0lMEREREREREQk7SmBISIiIiIiIiJpTwkMEREREREREUl7SmCIiIiIiIiISNpTAkNERERERERE0p4SGCIiIiIiIiKS9pTAEBEREREREZG0pwSG1GpmttzMpoQdRyzM7FIzc2Z2UtixAJjZSUE8lyb5OGn1vBOp7PsvVa+piIiER22PqlPbo/rU9pBMpwSGSAzMrL+ZjTKzvJpwnCjHjfzzKr3sMrNlZvaEmfVKZTyJVOq5/SbsWERERGKltofaHiJysDphByCSIfoDvwemAMtrwHHK8xzwZnC9AdAPuAw418zynXMrQoipNnkf/7rvDTsQEREJndoeanukgtoeklGUwJCEM7NsoJ5zbkfYsYQlg1+DWc65f5VeYWafAQ8C5wAPhBJVLeGcKwF2hR2HiEimyeD/uwmTwa+B2h4hUttDMo2GkEhUZpZnZi+Z2dZgGWtmh0YZNxcZI1hgZreY2ef4D8HvBfe3MrOHzWylme0JLh82s5Zljjcq2E9elFgOGita6rhDzew3Zva5me02s0/N7JIo++hsZi+Y2Zbg+bxmZt1ifC1GAU8ENyeX6ub4ZIyvQUzPrbLjlJIVy3MO9tnNzA6P5XlWYE1wuSeWjWM958G2dc3sOjObY2Y7gvMzw8yujuE4NwWvz1/NLCGfZXG8X5uY2Z1mNs3MNgbnYamZ3WNmDaPsN6b3n0UZhxrvez14TEx/v5W8FpH37TAze87M1gXnqNDMTohlHyIi8Yj1syuG/7tqe6jtobaH2h5SQ6kHhhwk+MD8AGgL/ANYBHwbmAw0Kudh9wE5wKPAVmCJmR0CTAUOAx4HZgFHAj8DhprZIOfctmqG+wd8t7dHgN3Bvp80s6XOuY+C59MM3z2uc/B8FgInBs+nQQzHeBloD1wRHG9RsP7zMtsd9BrE+VxiPU6lz7mUSUAXwGKMoaGZtQquNwD6AncBG4GXKntwPOfczOoC7wAnAeOBf+EbX/n4X1weKucY2cF9/wfc4Jy7J8bnlrDYgY747q0vAc8C+/DvqeuCx5xSar/Vff9FxHTeq/j3G82RQDG+a+9U4BYgF7gGeMvMDnPOrY1jfyIi5VLb4yBqe6jtobaH2h4SjXNOi5YDFuCPgAN+WM76KaXWXRqsWwI0LLP9XcF9V5ZZf1Ww/o5S60YF6/KixLO89DHLHHc2ULfU+o74D9jnSq37Q7Dtj8rsY3TZ51PBaxI53kkV3HfQaxDvc4vxOJU+5zL7dzE8v5OCfUdbFgCHV/CYS6t4zq8L1v0hyr6zor0m+H+ir+B/kbk4xvdzJM7fVLJdPLHXBXKi7OOOYNtBVXn/lfOaxnXeiePvt5LXY0Ww/bXlvA9/Gct+tGjRoiWWJZ7PLtT2qPA1iPe5xXgctT3U9ij3vKO2h5YULhpCItGcDqzFZz9Lu6+Cx/zdHTzm8mxgAzCmzPpHgvVnVyfIwN+cc//rXuicWw18CnQvtc1ZwDrg6TKPvTcBxy8t2muQDLE858h9ec65WH8BAX+uhgfL6cDvgFbAm2bWJYbHx3POfwhsAm6PEndJlH23ACYABcDpzrmy57O6Yo7dObfHObcXwMzqmFnz4NejicEmg0s9PlHvv1jPe1X+fg9gZs3xv3h86Jy7v8zdk4LLvFj3JyISA7U9qkZtD7U91PaQWkUJDInmUGBp2Q9y59x6YHM5j/m0nP0scc7tK7OffcH2XRMQ67Io674CSo8b7Ap85pwrLhPHWsp/PlUR7TVIhliec1V95pybGCyvO+f+CJyBP5ex/NOL55x3BxY752ItHPUkcCww0jn3ToyPiUdc71czu9LM5uJ/ifga39CYEtzdvNSmiXr/xXreq/L3W9aRweVjUe6L/N/YDmBm3zOzD81su5ktj3H/IiJlqe1RNWp7qO0xJbi7VrQ9zKyemT1qfrrdbUFdjp/HeAypAZTAkESpbvbfVXBfRbVaistZH0/mP1HKew2q+tzKk9Ln7JybBmwBhiZj/3H4N1AC3GJm8YzfTDgzuxZ4GP9rw0+B0/C/HF0abJKMz9ZUnvf+weWMKPdFfuGZHVxuwo8LvikJcYiIVERtD7U9kk1tj3LCScKxYm171AG+BE4GDsEXrr3ZzL6XhJgkDSmBIdEsBw4rW13ZzNoAzeLYzzKgp5kd8I8yuN2DA7O6XweXLcpsWx9fXKo6lgHdgwJMpffdntifT0UNgcrE89yqc5xkqgM0iWG7eM75p8DhZlYvxhieAS7EN2Zej1Zxu5riif0i/N/JSOfcY865N51zE/HdNaPtt7rvv3gsp/p/v5FGxL4o912Lf0+PB3DOTXDOPY8ftyoiUlXLUdujLLU91PZQ28P7X9vDOfeNc+4W59xS51yJc24OMA44vmqhS6ZRAkOieQ3/z+2CMut/E+d+XgVa4ysml3Z5sP6VUusiXSALymz7K6r/Ph2Lr4p8cZn1v4tjH9uDyxYVbhVdPM+tOsc5iCVgKjMzG46vID0zhs3jOefP4Ls73hzlmFEz+8EX5Qvwla3fMrPGMcQUq3hiL8Y3+P4XZ9DYuD7KfhPx/otHIv5+I42IE0uvNLOf4H8FudM5t/2gR4mIVJ3aHgdT20NtD7U9Kml7mFkO/tzMjeNYksE0japEcy/wA+AJMxsELMZ/MByLn9Iq1kz9H4HvAg+b2VH4bl9HAj/BV83+Y6ltJwbrbg+mYvoCn0k9JjhmdfwxeD6PmtkAfGXrk4BvxbHv6fguhDcFRYa+Ab4IujhWJp7nVp3jRBPvVGZHmdmFwfV6QB/81Gp7ifLPPop4zvmD+KJPN5vZ0fhf9HcFx+zJwY0uAJxz/zGzvcALwDtmNtI5tzWG2IYFvzyVtdE59484Y/8PcDe+IfMy0BT/HtsbZf+JeP/Fo1p/v8GvUr3wz/+BoIDa8iDmC/DdaUcnIW4Rqd3U9jiY2h5qe6jtUXnb4yFgGwcXLJWaKhVTnWjJvAVfjOdl/AfCVnwm91D8h9Cbpba7lHKm3grubw38DViF/4BdhR+/1yrKtj2At/HjOTfj/0l0pOKpzA46Lr6Y0fIy63LxH/xbg+U1oFu0fVfwmlyCn0d7T3DsJ2N5Darw3OI+TrTnHKxfTtWnMisG1gfvg6MreMyl1Tjn9fG1ExbgGxCb8Q2pK0ttE/V548d+7gI+Bg6J87mVXhbHGzuQDdwALMUX0lqBbyz0CvY5qirvv2ivaRXPe0x/v+W8XgOC410IXI1v9O4O3pO/pNQ0c2Ued1a0WLRo0aIl1iXWz66KPheD+9X2iP+5qe2htsellT3/Ss57GG2P+/E9Lw46z1pq7mLByRepVJDB3wg84pz7v7DjEZHYxfr3G3TVfAw4wjkXc3dMMzsLGO2cy6turCIiEWp7iGSuZLY9zGw0MAwY6pzbkIh4JTOoBoZEVU6l5cgYuwmpjEVE4lPNv98j8b8ALY7xWNlB99gcf9Pqx1EcTUTkf9T2EMlcKW57/AU/3EfJi1pIPTAkKjObjO+aNguf6BoGfAeYCpzgyswrLSLpozp/v2b2Ib5bbH6Mx7oUeKLM6hXqiSEi8VLbQyRzpartUao+xm4OnLHkA+fcyCo/AckYSmBIVGb2a3zl4jygAX483svAbc65bSGGJiKVqOrfb1CBfQvwunPuBykIVUTkf9T2EMlcantIqiiBISIiIiIiIiJpLynTqLZq1crl5eUlY9ciIiKSZDNnztzonGsddhzxUNtDREQkc8Xa9khKAiMvL48ZM2YkY9ciIiKSZGa2IuwY4qW2h4iISOaKte2hWUhEREREREREJO0pgSEiIiIiIiIiaU8JDBERERERERFJe0pgiIiISMqY2eNmtt7M5pdzv5nZX8xsqZnNNbOjUh2jiIiIpCclMERERCSVngRGVHD/SKB7sFwB/D0FMYmIiEgGSMosJCLR7N0LhYVw3HFhRyIi6cY5+PBDOP54MAs7Gkkm59z7ZpZXwSZnAk875xzwsZk1M7P2zrm1KQlQJBbOwb5tsG8nlOzaf1m3JTTqDMV7YM0bULwLshtA3eZQrwU07OSvi4hIlSiBISkzahT84Q8wfToMHBh2NCKSTh57DK64Al55Bc46K+xoJGQdgZWlbq8K1h2UwDCzK/C9NMjNzU1JcFKL7FgD25cduLQaDD2uAlcCLx5y8GN6/QaO/JNPZnxwzsH354+C/N/Dzi/hrf5Qt4VPbOQ0h4YdIO8iaHO8T5CAMroiImUogSEps327v5w9WwkMETlQ+/b+ctWqcOOQzOKcGwOMARg4cKALORzJVHu2wMb/woYPIacJ9P6dX/9Wf9i9IdjIfO+JRkGiLCsbjnoAsutBVn3IDpamPf39dRrDyDmQVQ+Kd8Ker2HPJmh6eLC7LOh4xv71O1fBxqnQ6lifwNg0C94dDof0OXBpebSPUUSkllICQ1Jm9Gh4+mnfA+Pyy8OORkTSydCh/nLbtnDjkLSwGuhc6nanYJ1IYs2/E4pegM3zAQeWDZ3P23//0Q9DnSbQuCs06uKTFaUdfk35+7YsaH5E+ffXbwODxxy4zjnfswMguxHkfhe2LIAV/4a9m/36oROgXYGPeePH/nrjvFifsYhIxlMCQ1LGDAYN8nUwRERKKyo68FJqtXHA1Wb2PDAY2KL6F1JlzsGW+fDlu7DxI9j6KYyc7RsluzZA/faQfx60Pg5aDoacxvsfm/vd1MZq5pMoAIccDoMe2f8cdn3pkxktB/l1q8fBJzf56427+URGuwLfqyO7bmrjFhFJISUwJCWmTIEf/xguuwy6dg07GhFJN5dd5i9zcsKNQ5LPzJ4DTgJamdkq4PdADoBz7h/Am8CpwFJgB/CjcCKVjLfyZZj9O9i+1N9umOsTFfu2+2EYAx8MN75YmUGD9n6J6H0DdDobvpzol+XPwvJn4Lyv/f2rX/fDV9qcqISGiNQoSmBIShQWwhdf+CJ9rVqFHY2IpJsVK+Dii+Evfwk7Ekk259wFldzvgKtSFI7UFK4ENk6DlS9B10ugWX4w/ONQ6P1baD/Szw5SU5jBIb380vPnULIPti2FrCALPPf3vo5GvZaQ+33IuxBaHaOioCKS8ZTAkJQoLPQ9L1q18kU8s7OhX7+woxKRdLB3L6xZA5pEQkTiUlLsh4UUveQTFztX+y/wzfr6BEb74X6pDbLq+GEnEQXvwbrJsOI5WPYEfPY36Hb5wXU3REQyjBIYkhKFhXDccf762WfD4MHw73+HG5OIpIc1a6CkBObO9Z8N77wDzZqFHZWIpK2SvT5RUbIHppzqex90GAmd74GOp0PdKNOb1jY5jaHT6X7Zuw1WvrK/2Of2L+DD78OhF0KX831BURGRDKEEhiTd2rWwcqUv4Akq5CkiB4oU7mzbFsaN87eVwBCRAzgH66fApw/DNyvglEKo0wCGvAPN+mlq0YrkNIGuF++/vWs9uH0w85cw61podzJ0+wl0OstPDysiksaywg5Aar69e+GnP4UhQ/ztQYNg+XJYvz7UsEQkTfTsCc89B2ee6W9rJhIR+Z+923zS4s2+MGmoHxbRdojvfQG+KKeSF/FpNRhGzoJT50Ov6/wsLVMvgN1qmIlI+lMPDEm63Fz4xz/23x482F9Onw6nnRZOTCKSPtq0gfPPhy+/9LeVwBARnPMFJ1e+AjOuhhYD4ZgnfEHKOg3Cjq5maNYH+v8B+t0Bm+fsn+Xk/XOgaQ/o8XNo2DHcGEVEylAPDEm6oiIoLt5/+6ijICsLpk0LLyYRSR+Fhf7zoE0bqFtXCQyRWss5WPM2TBwCix/w67p8D06eBiOmQ9dLlbxIhqxsaDHAXy/eDZYNi/4EY/Ng6sWw6ZNQwxMRKU0JDEmqkhI/28g11+xf16gRvP8+XHtteHGJSPq47Tb42c98YnPECGjdOuyIRCSlnIM178D4Y2HKSNj+OdQNCuFk14dWg8KNrzbJrgfffhFOXwrdr4RVL8Nb/WHFC2FHJiICaAiJJNlnn8GWLb7XRWmRGUlERIqKoFs3f33s2HBjEZEQzPwFfPoQNOwMR/8Duv4IsuuGHVXt1vhQGPgg9BsFSx+DDiP8+jVvQ/Eu6HSmH+IjIpJi6oEhSRUZJjKozI8nK1fCHXf4SxGp3YqKfK0cEaklnIMv34Wd6/zt3O/B0X+D0z+D7j9V8iKd1G0OvX8LOU397U8fgg/O9r1l1r0XbmwiUivFlMAws1+Z2QIzm29mz5lZ/WQHJjVDYSE0bgyHH37g+q+/hltvhQ8+CCcuEUkPW7bA1q3QpYu/PWYMdOrkZy8SkRpo3WSYeCK8O8x/GQZo823o/jM/fEHS2wmvwqBHYcdKmHQSTD4VNs8LOyoRqUUqTWCYWUfgF8BA51xfIBs4P9mBSc1QWAgDB0J2mWnF+/SBhg39/SJSe0UKdkZ6YGRnw+rVsGZNeDGJSBJsmAoTT/JToW7/HAb8FfreFHZUEq+sOnDYZb63TP8/wlcfw+b5YUclIrVIrDUw6gANzGwv0BBQ0zKNOQf//CecdRa0ahVuLLff7gvzlVWnDgwYoARGpikpgccfh9NPh7Ztw45GaoJu3eDDD6FHD387ksgoKtrfK0NEaoDFD8DWJTDgQTjsCl+cUzJXnQZ+aMlhl+8fXrLofp+c6nsLNGgXbnwiUmNV2gPDObcauA8oAtYCW5xz48tuZ2ZXmNkMM5uxYcOGxEcqMVuyBC6/HL7//bAj8TMKnHxy9PsGDYJZs2DPntTGJFU3ebJ/b110UdiRSE3RsKEv6huZeaR0AkNEMljxLph/F2xZ5G8f/Tc4Yyn0/IWSFzVJ3WZgwdeJ3Rtg6SMwrht8cjPs3RZubCJSI8UyhKQ5cCZwKNABaGRmF5bdzjk3xjk30Dk3sLXmwAvV/KAn30cfhRvHzJkwZYrvERLN4MG+d8ayZSkNS6oh0mPmiSfCjUNqjilT4IVSs/N17uwvV6wIJRwRqS7nYOWr8HpvmHszrHrFr6/fGuo0Cjc2Sa7+d8Npi6DTGbDgLni9F6ydEHZUIlLDxFLEswD4wjm3wTm3F3gZODa5YUl1zAtqKYX9C+bo0fCDH5R//5ln+uJ9ZQt8SvoqLPRd/Tt29Ofu9NNh7tywo5JMNmYM3HDD/tsNG/rPja5dw4tJRKpoy0KYfLKfpaJOQxg6EfrcGHZUkkpNu8Nxz8HwqVC/DdRpHHZEIlLDxFIDowg4xswaAjuBYcCMpEYl1dK8uf9i2aZNuHEUFvphIuVNE15Xs6RlnMJCGDrUX1+/HmbPhpNOgrfe8j1qROIVrdbFM8+EE4uIVNOyp+CrGTDgL35WkaxYS61JjdP6WzBi5v5G4Kxf+1oZvX+nIUQiUi2x1MCYBvwHmAXMCx4zJslxSTVccw2MGwd//jM89FA4MWzaBJ9+6hMYFRkzBs7XnDYZYfdu32vm9NP97cMO89PgNm8OBQV+KIBIvIqK9te9KG3fvtTHIiJxciWw9DE/NSpA35v97BQ9f67khexPXrgS2LUO5o2CN/rCmrdDDUtEMlssQ0hwzv3eOXe4c66vc+4i59zuZAcmVePc/poTEybA3/4WThwzgj46lSUw1q3z49+3bEl+TFI99er599P3vrd/3aGH+iRGbi6MHAnjDyrvK1K+ffv8lKllExg33+xnUCqvfo6IpIFtn8OkYVB4OSwPuk3lNIH6IU9/JunHsuDYf8HQCWDZMGUkfPBd2KFJDUUkfjGc05GoAAAgAElEQVQlMCRzTJ/uq/l/8IH/VXzRIv8FIdUixR4HDqx4u0GD/JeUmTOTH5NUz4YNUFx88PoOHeC99+CUU6B799THJZlrzRo/NW/ZBEbz5j6pqcSmSBoqKfZTor6ZD5tmwaBH/SJSmXYFcOpc6HcnrHsXSvR7qIjETwmMGmbePPjqK2jf3icwACZNSn0cv/mNr4/QrFnF2x19tL+MJDwkfX3/+77eRTStWsGrr/oeGSUlPqEhUpmOHWH5cjj33APXRxIamolEJA0V/RtmXQtth8FpC+Cwy8ovdiVSVnY96HsTnFUEjQ/1v2LNuR42zw87MhHJEEpg1DDz5vkq/l27Qr9+/otlGAmMevWgf//Kt2vRwv9qP21a8mOSqisu9sOC+vWrfNtHHvGJjtGjkx6WZLjsbF/As3nzA9dHEhhhz6QkIoGSvfu/YHY5H058HU4cBw07hRuXZK7IlLo7VsGyJ+DtAbDwXt/DR0SkAkpg1DDz5kHfvpCV5ZfTT0/9OPI1a3wPjKVLY9v+O9+Bdu2SG5NUz5IlsG1bbDON/PjH/hf1X/0K7rhDdQykfOPHw733+l47pSmBIZJGNs2BdwbDxBNhz2Zfz6Djaep1IYnRqDOcOh86nu57Ykz8Nmz9NOyoRCSNKYFRgzgHc+dCfv7+dY8/Dk8/ndo4pk71M6Bs3hzb9vffD3//e3JjkuqJDPGprCgr+N43zz8Pl1wCt94K112nJIZE98or8Mc/+mRraW3bwtVXQ58+4cQlIkDxbph7K7x9NOxcA4PGQN1KxoWKVEX91nD8i3Dss7B1MUweASWaikpEotMcVzXIvn3wox/BcccdfF9xse+unQqFhVC3bmzDDUpLZYwSn2nT4JBDoEeP2LavU8cnzxo3hr/+1b8ve/dOboySeYqK/BCSsrKy/PtGREKyZxNM+DZsWQCHXgxHPQD1WoQdldRkZpB3AbQ5Eb5Z7qfhLdnnk2eNosy1LSK1lnpg1CA5Of7XzDPPPHD9eefBd7+bujimTYMjj/RJjFgUF/s6GDffnNy4pOouvNDXtCj7S3lFIl9CZ83an7xQTwwprajo4BlIIvbuhS+/TG08IhKo2xzanwInvgHfekrJC0mdhh2g9bH++uI/wxt9YOljakCIyP8ogVGDbNgAO3YcvL5lS1/Ic18KeuPt2+eLPcYy1CAiO9v/uq+ZSNLXccfBpZfG/ziz/cmLp56Cs8+GXbsSGppksIoSGJdfHt/niIhU084v4f2zYMtCf/uoP0PHU8ONSWq3LudDy0FQeDlMOQ12rA47IhFJA0pg1CC//W30Lv4FBbB1q08sJNvq1X4WlHi/eAweDNOnH1zMT8K3ciW8+271Ew87dsDYsXDaabB9e2Jik8y1dasvDFteAiM313+e7N2b2rhEaqXVb8Cb/WDteNiyKOxoRLxGXWDoBBjwV1g/xb9H17wTdlQiEjIlMGqQefOi1xkYMsRfpmI61S5dYP16OP/8+B43aJD/MrNkSXLikqp7+WUYNgw2barefn72M19Q9r33YPjw6u9PMlvTprB7N1x1VfT7c3N9QnPNmtTGJVKrFO+CGb+A974DDTrAiJmQe27YUYnsZ1nQ82oYOQeadFchWRFRAqOmKC6GhQsPnIEkolUrX5Ni4sTUxGLmizjGI9JjY9q0xMcj1TNtGnTqBO3bV39fF10EL77o62IMGQI7d1Z/n5K5cnKgQYPo92kqVZEUWDwaPv0r9PwVnDINDukVdkQi0TXtASf/F1oF87kvfhC2LQ03JhEJhRIY1VBSAvfeC6++GnYksHSp7+IfLYEBcM01cMEFyY/jnHPgvvvif1zPnvDzn8c+y4WkTmFhYmsRnH02vP46fP/75X95lZrvrbf8VKnR6vbA/tlJlMAQSTDnYOdaf/3wX8GwyTDgfsiuF25cIpUx85e7NsD82+Gto2D5c+HGJCIppwRGFe3b54saXn893HFH2NH44SNQfgLj4ovhiiuSG8M338C4cbBlS/yPzcqCv/wFjj028XFlIufSo+D2V1/B558nvpji8OFwww2J3adklvfegzFjoH796Pfn5sI990D//qmNS6RG27UR3j8Txh8Le7f5pEXbk8KOSiQ+9VvDyNnQLB+m/gCmXQb7ysmGi0iNowRGFb33Hvy//+d7DsydG35X+COP9NNcRquBEbFmje+6nyyzZ/uhLFX9sltcDAsW+HHxtd3cuT6pYxbueysyM8zgwcnZ/+9+B7ffnpx9S3orKoLOncufmrdBA//+6NMntXFJapjZCDNbYmZLzez6KPdfamYbzGxOsFwWRpw1ysaP4e0jYe07vudFncZhRyRSdY1yoWAK9LkRPn8cJp4ETpXgRWoDJTDiFPlVfNgw/yXz3nvh0EN9tfwwdesGv/xlxV3yf/hDuCyJTcDIl92jj67a4197Dfr2TW6SJVNEetQAfPRReHEMG+Znh0nWdJaLFvnCnlL7VDSFasSaNT6pKTWLmWUDDwMjgd7ABWYWLf3+b+dc/2B5LKVB1iTOwZKHYOIJYDm+jkDPX+zvji+SqbJy4Ii7YEiQlLOs9OnCKiJJowRGHDZv9l3fI7N55OfDGWfAp5/CYYeFG9uECbB2bcXbFBT4XhIbNyYnhsJC/4WkXbuqPT7yJTmSCKnNSicwUlV8NZq6dWHgQD81bjIUFPghKsuXJ2f/kr5iSWBcdZWvlSI1ziBgqXNumXNuD/A8cGbIMdVcrgRWvgTtToGRM6HFUWFHJJJY7YdDXlDo7Yun/LCSvdvCjUlEkkYJjBht2ABDh8L77/tERkQ6/IDxzTdwyinw6KMVbzdsmL98993kxNG1K3z3u1V/fIcO0LGjEhjgExj9+sEJJ4SXwHDO16lI5swwBQX+MhVT/Er6KAl6+eblVbxdbi6sWKEf02qgjsDKUrdXBevKOtfM5prZf8ysc2pCq0G2LIad6yArG04c65e6zcOOSiS5dn8NRS/A+GNg66dhRyMiSaAERgxWr/ZfJBctgrFj4dwyU6Tfcw8cd1w4sYGfPtW58gt4RgwcCE2bJu/L4h/+ULUZSEobNEhTqYJPYOTn+y/4s2b5Ypqptny5f2/Pnp28Y/Tq5adnDbOXiaReVpbvgTFqVMXb5ebC9u1VKwwsGe81IM851w+YADwVbSMzu8LMZpjZjA0bNqQ0wLS24gV452iYcbW/ndPUd68Xqel6XQtDJsCu9f5vYNW4sCMSkQTTf7NKrF8P3/62T2K88w6MHHnwNllZMHVqOF8yofIZSCLq1IEhQ5LzZXHXrsT8Sjp4sB9SENZrmQ5KSny9krPOghEj4LTTYNOm1McR6QmTrPoX4Hsw/eAHPokhtU9lPdgiQ0w0lWqNsxoo3aOiU7Duf5xzXznnIiWdHwMGRNuRc26Mc26gc25g69atkxJsRinZCzN/BR9938/QMOCBsCMSSb12Q2HETGjSA94/CzarmJJITVIn7ADSXatWvs7FD39YfnHKyBe86dP9F85UmzvX1yjo2rXybe++Gxo1SnwMd98Nf/87rFrl6yZU1Xnn+UKeyaq5kAmysnzPh4jXXgsnjsJCP8VlZYmx6qpurx3JPG+/7T8vHn0U2rQpf7suXfxlUZEfUiU1xnSgu5kdik9cnA/8oPQGZtbeORep7HQGsCi1IWagnV/Ch+fBho+gxy/gyD9BdjX+IYtkska5MPwDWP06NAumsyop9kOqRCSjqQdGOWbOhC++8F8mR4+ueGaNAQP8L4lhDX2YN89PNVjedISl9epVeeG8qigs9L+iVyd5AX42ldNOq3g2lZpu40bYUWY68zB6Rk+bBkcdBTk5yT+Wc7B1a/KPI+lhzhwYN67yZOrhh8Mzz/j3odQczrl9wNXAO/jExAvOuQVmdruZnRFs9gszW2BmnwC/AC4NJ9oMklUX9myB456HgQ8qeSGSXR9yz/PXN06DN/vCpk/CjUlEqk0JjCg++MAPtbj88ti2b9IEevcOr/jkP/4Bf/tb7Ns/9xw8kMBepc75556ooQaFhfDii4nZVya6+WafZIoMyXn6af8rdSpn6nDOT2GZzOEjpQ0dCuefn5pjSfiKiqBly8oTGE2b+iFGHTqkJi5JHefcm865Hs65bs65u4J1tzrnxgXXb3DO9XHOHeGcG+KcWxxuxGnKOV/vongP1GsBI+dAF03dI3Iw8zOTjP8WfPFM2MGISDUogVHG22/7GT06dIAnn4z9cRde6Os3hKF7d1+gM1Zvvw133bV/JoDq+vxz+PrrxH3Z/fvf/fSJtXXmgXnzfEIsUh9gQDDyO5UzdZj581p6KEsy9enjZ/jZsyc1x5NwxTKFasTMmfDRR8mNRyQjFe+Gwst9vYtlj/t16h4vEl2rQb4uRsuj4b8XwsxrfM0YEck4SmCU8tJLvt5Fz57+y1SnTrE/9vrr4dZbkxdbeRYt8l/4S0/tWplhw3yRzLlzExNDoos9Dhrkh0ysWJGY/WUS52D+/APrTvTuDe3apX6mDjOoVy81xyoo8NMBawaa2mHFitgTGL/5DVx3XXLjEck4O9fBpKHw+T+hz81w2BVhRySS/hq0haEToec1sORBWPZE2BGJSBUogREoKfHFBAcOhMmTKy4sV549e+JLJCTCW2/BlVfC3jiSyMOG+ctEfSHu3dsncPr0Scz+Ij1ZwhqSE6aiIl8LonQCw8x/wZ80KXG9Zipzyy3w85+n5lgAJ53ka7hoOtXaoX17OOKI2LbNzdUsJCIH+Ho2vDMQNs2B41+AI+7QFKkiscrK8bPzDJ0AXX/i16knhkhG0X88oLjYf3l64w0YPx6aNavaPtq2hTvuSHx8FZk3z/86H8/scR07+mKeiRqS0L+/n4WkToLmtMnP97/818Zf4yNT4padcWHYMN8rZf781MTx6qt+CEmqNGvmC+UqgVE7jB8Pt90W27Zduvh6LPEkaUVqtKw6kHMInPwR5H437GhEMlO7Aj/kascqeL03rHw57IhEJEa1PoFx991w6qmweze0aAGNG1dtP9nZvidCqr90z5tXtWkuhw+HbduqX2di716YOhV27qzefkrLyfGzDsycmbh9Zoq+feHBBw8+pyNGwJgxPvmUbNu2wYIFqSvgGXHjjRoqIAfLzfU9j9asCTsSkRCVFMPKV/w/7Wb5cOpcaN4/7KhEMp/VgXot4YNzYf6dtbcAm0gGiSmBYWbNzOz/t3fn8VGVZ//HP3cSICwCyq4kIggKAm4QBFFZIu641NZd61L9qbXWfd/rUrWtdamtj7baR7FaN3AXBXFBCAhCBBUUEUFklVW2kPv3xzXzEGOWmck5cyaT7/v1ymu2M+dcmZlMzrnOfV/Xc865z51znznnBoYdWNi8h2uusYOmtm0Ta0Fam6IimDYtfWcKt261A81UEhh/+Qt88MG2QpGpmjkT9t8fXn65buup7Nln4c03g11nfdClC/zud9bZpqKOHa0rTps24ccwbZr9faQ7gTFyJBx9dHq3Ken3zjuWoJwzJ7Hl47UyNI1EGqzNq+G9o+H942Dpu3afpoyIBKNpRyh+F7qcAjNvgIknQ1mAZ+VEJHCJ/gf8K/CG9353YE+sb3u9VV4Ov/2tdVg47zz43/+1s/51VVRkIxFmzar7uhIxfz5s3JhaAiOesKlrojnoAp5xnTunr4BkJnn7bVi0qOrHvv8eHn00/E4d8VFE6U5gAHzySXq7rUj6zZkD06f/PElXnaIiK6q8l042S0O0Zi68tR8sfhP6PQTth0QdkUj2yc2Hgf8Le94J3zwDpTdFHZGI1KDWBIZzrhVwIPAYgPd+s/c+zaUqg3XVVfC3v1l1+4cfDmb0BaS/+GS3blY09PjjU3v+FVdYy9i6KCmx+hs771y39VS2YQNcdlnwIzsy2ebNcNhh8NBDVT8+aZKNwgh7mlLLlhZH27bhbqcqV10FF1+c/u02JOXlNm3ulVei2f6CBZYw7tAhseVbt4YDDkg84SGSNb4fB28WwaZlVnCwxwV1HzYpIlVzDva4Goa8Dr2vt/s0nUQkIyVy6L4LsAz4l3NuunPuUedc88oLOefOdc5Ndc5NXbZsWeCBBulXv4I//xnuvjvYfYFddoF77rEpFenSqlXqdTvy82HcOFi9OvXtl5TYGdKg96ny8+Hxx2H06GDXm8k+/xzKyqofUZOuTh3/7//Ba6+Fu43qDB9uI5i+/z6a7TcEc+ZY96KRI6PZ/jffQEFBconj0aMb5pQyaeC2rIHmBXDIFOgwJOpoRBqGHQ+BRi2h7Ed4Zwh882zUEYlIJYnsQuYB+wAPe+/3BtYDV1deyHv/iPe+n/e+X7tkWmJEoH9/uOSS4A+6nbNRHUG1E63NH/8IDzyQ+vOLi62OxoQJqT1/zRr47LNwpho4Z+ttSK1UZ860y+oSGK1bW5vfMKdYlJWlr1VrVYqL7VLTSMKz227Qowd07RrN9hcs2FbXIlG33GLFbUWyni+H5ZPsesExcOg0aLFLtDGJNERbN4DfCh+eADNvsr9NEckIiSQwFgILvffxgevPYQmNemfGDDj7bGtHGZbVq+3s9Y8/hreNuEcfTT35ALDfftCsWepn9Js2tbnpp52Wegw1KSqys/Hr1oWz/kxTWmpD63fbrfpliottKsmaNeHE8NprVig0Xe1aK9trL+sGpHaq4XEOjjzSaq1s3Zr+7fftC0OHJvecnXdWEU9pAMrWw/vHw9jBsDpWaiwnoP7kIpKcJm1g2DvQ9Uz49Fb48EQV9xTJELUmMLz33wPfOufih1XDgdmhRhWSa6+FF18MpmBndSZOhCOOgClTwtsGwPr18NVXqRXwjGvSxOaWp3qw2KgRDB5sU2fCMGCAjQZoKO1US0th991r/nwOH24HnVOnhhNDSYm1UY3q7HxODgwbBu+/H832G4IbbrDvjo0b4euv07/9v/0NbrwxuecUFtrUE01Hlqz143fw9kGw8CXY+0/QcveoIxKR3CYw4DHY+x5Y8ByUnBt1RCKCTQ9JxEXAU865xsA84MzwQgrH++/b2eW77rKh+GHp398uS0rgoIPC287s2bYzX5cEBsCZZ9o0kPLy5IuZPvkkdOpkB9Vh6N8f2reH5cvDWX+meeABWLGi5mUGD4bFi62tahhKSuwMebNm4aw/EffdF+7faEO2caNNPTv3XBst1rJl1BElprDQRmKtXq3PhmShH2bAhCNh8w9w4GjofFTUEYlInHPQ83JosSu0ruNOt4gEIqEEhvf+E6BfyLGExnu45ho72L7oonC31batnb0Ou3ZDaald9u1bt/WccELqz736aissGVYCo107K+bYUIqud+tmPzVp3Di85EV5uX1uTzwxnPUnaqedot1+NpsxA7ZssVEuUSQvPvgAjjsOXnoJBg1K/HnxmhkLFiiBIVnou1jV5IM/gO3VL1gkIxUcY5few9TfQsEvoOOwaGMSaaACaiCa2V59FT780IYtp+PMclFR+K0u16yxA9kghvqvX78tIZKoRYvsJ4wCnhU1lOTF3Lk2tH7lytqX/fhjOOooG4kRdAyrV4f/nibigQfg+uujjiL7xBOrAwbAgw/CnXemd/sLFlgNou23T+55hxxi01169QonLpG08x5+XGTXe10Nh32i5IVIfbD5B1j6Low/BOY9HnU0Ig1Sg0hg7LknXHmlFfBMh6Ii+Pbb4A8wK/r97+G775Kf9lGVc86Bww5Lbn55/EAo7IPd11+3jgnZ3lZz7Fi48EJLJtXGOXjlFWuBG6RmzWykUphTnxI1Y4YdYEdRZDKbTZ4MO+5oo1wmTIDHHkvv9r/5xi4LCpJ7XsuW0KUL5KmeoWSD8jI7g/taX/hxoX2pN2kTdVQikogmO8DBH1pr40lnwowbVKBJJM0aRAKjoMDmfYdZvLOik06ylpjt24e7naBGJwwbZqMpvvgi8eeUlNjBxF4hnzDabjsbGRB2UdSolZba0PjOnWtfNt6pI+hWowUFcMcdtU9jSYfiYhsN0lAKuKbLmjUwcKBd79MH5s1LLGkWlAUL7LPbokXyz73vPhg9OviYRNJqy1qYMBLm/g26nQNNd4w6IhFJVuPWMOQ16HY2zPoDTDk/6ohEGpSsTmBs3gy//jV88kl6t9uxox0c5OaGs/4lS6zA5dixwawvXsMimW4kn35qI1vy84OJoTr77GOvY9g1RaJWWmqfmUSSUvFOHW+/HWzSf/r09LT/TcSw2LTSoJM0Dd2YMfDss3a9Tx/7/Myalb7tL1iwrZ5Fsh58EJ55Jth4RNIq3mnk+7eg6B+w9x/BZfVumEj2ymkERf8De94Jhb+MOhqRBiWr/3M+9hg88YRNtUi3V16B++8PZ92lpdZGM6gESdeu1go1mYPF0aPhjTeC2X5NmjWzA62wa4pEyfttCYxEFRfbNKW5c4OJYdMmq4tw883BrK+u2re3BFmqLX6levFpZ/HPW7L1b+pi6NDUi8QWFloCRKTemnUHrJ0DB70Mu6odo0i95xzscTV0jJ0J/PJRWJPEcGYRSUnWJjDWr4dbb4UDDrD6Dun2yitw003W2SFoM2faZV1bqFZUXAzjx0NZWWLL5+RYx5V0KCqyKSRhvJaZYNEiG9qfbAJjwAD44YdgYoh3pxgwIJj1BWHkSKt9oKmlwbjvPjj00G1/41272mixNWvSF8Pll8NVV6X2XCUwpN4qjxXz2fseGDEJdoxgp0REwrV5Ncy8Dt4aCEs/iDoakayWtQmMBx6wwo933hlNJ4uiIli1Krgz5BWVlkKHDtZmNCiXXGIjMBIpCvryy1b4M10HPocfbq0XM2V6Q9A6d7Z6D6eckvhzunWDSZOCSzikqyhrMm69FV58seF0ognbuHGWAIgXwszJsdFpl1ySnu1v3QobN6b+/MJCS/YlmmQVyQhf/y+8NcAObvKaQuveUUckImFo3ApGfARN2sG4Yljw36gjEslaWZnA+OEHK9p5xBGw//7RxBA/EAyjdkOy0w0S0bMn7LtvYgmM11+3efSpFOJLxdFH23SgdG0vCi1bWsHSZG3YEMzIlMmToVOnxIqIptumTVFHUP95b+9x5QRVOpNDs2dD06aWlEpFYaH9HtnekUiyhPdQeht8dDo0agVoKJlI1mvRFUZMhB32hQ9OgM//EnVEIlkpKxMYjRvDpZfC7bdHF0PPnnbAHUYCY489YMSI4Nc7bhz8JYHv2pISKyIaRAvXRHkPK1akb3vp9Kc/Jfa6VzZuHGy/fTCdOkpK7OA200Y7nHMODB4cdRT134IFsHTpzxMYY8fa3/KSJemJASxRlopTT7URHJmYZBP5ifItMPkcKL0RdjkdhrxuXQtEJPs1aQPD3oaC48Cp97dIGLIygdG8OdxwgxUBjEpuLvTrF86c7SeegCuuCH69r78OV19d81SNjRutXkK6ayUcdZRNJclG//qXJSOS1bu3jU4IotDl44/DtdfWfT1BKyy0BE22Jq/SJZ5Irfx3m5trBYHTUcgz/l2YaheS/HxLTotkvGmXw7x/Qu8bYb/HIVcfXJEGJa8pDP4v7HaR3V4xFco2RBuTSBbJugTGnXemPkQ5aK+9Zt06ghRmIcvhw6317Ac11B765BObg57uWgm9etm2s206webN8MUXqU0Jat8e+vYNJoExcGBm1b+IKy620Tfjx0cdSf3WooWN2qr8OYvfjhcGDtOCBdCokRUOTUV5Ofzud/D888HGlU7l5SpK2yD0ugIGPgl9b8m8YW0ikh7xv/1NK2HccPvZuDzamESyRFYlML76Cm68MXNaLzZtGvw6b7kFCgqsY0TQDjjADjBqev1Wr4bu3dN/sFtUZAf76TjQSqfPP7eEUKo1TYqLLeFUlwKn48ZlTtKvsv79rTZIMi1+5ecOOwzefPPnIxjatbOCwOkagVFQkPrUs5wcePrpzPl+T8V558H550cdhYRi1acw5QLrONKsM+ySRFVmEcleTXaAAf+EH6bD2EGw9quoIxKp97IqgXHjjXYAfv31UUdiNmyA44+HJ58Mbp2lpdCsmf2eQWveHAYNqvkA4ZBDYM4c2HHH4Ldfk/jQ98mTg1vnypWWEPr0UzjzTFi4MLh1Jyp+4Ni3b2rPLy62xM6HH6Yew1//Ctdck/rzw9SoEQwZUr8PWqO2dWvNCa4+fdKTwDj6aPj97+u2jvrcSnX1anj00fTWDpI0WTIexg6GhaNhw6KooxGRTFP4Cxj2DmxeaW1Wl4dQIE+kAcmaXakZM2DUKLj44tSLxAUtPx8mToS33gpunWF0IKmouBiWL7fkS1WiGv7cubMNPQ+qKOr339uB8R13WA2Axx+P5iz/6tV2FrxHj9Sef8ABVqy2e/fUnh/vTpHumibJOP98uPzycKdPZbNZs6zLzcsvV/34iBE2RStsv/oVXHRR3dZRnxMYL7xgl7/+NaxdawmdbBtR1iDNfxrGHwLNdrIWis1TLPIiItmt3SA4eCI02g6+fjzqaETqtaxJYFx3HbRuDVdeGXUk2zhnUx+COuhev96myYSZwLjySvjmm6qnv6xcacmh554Lb/vVcQ7uugvOOKPu61qwAA480F7LV1+F00+3ehJRnOW/4ALrAJHqiJoWLaz4ZpcuqT1/4ULbfibWv4g77DAbeq8z16kpKbFRGLvvXvXjV1wB//53uDFs3Qpz59a9hk19TmCMGgXdutm0qKVLYdo0OOigYEeVSZrNeQgmngxtB8HBHyh5ISI1a9kDRkyGff9qtzevjjYekXoqKw4JvLeze/fcY20lM0lRkRVp/OGHuq9r9mz7XcNMYDRuXH3NsSlT7GC3TZvwtl+TM86wQqN1MWeOteVcutRaSBYX24Hx8OGWwIhihElda7ytW2fFYletSv658YOnTE5gAHz7Lbz7btRR1E8lJfa9uOuuNS+3dWt4MSxaZKOM6poo2Xlnm0K3fn0wcaXL4sVWa+bkk+3vvVs3eP99+y4dPlxFauut7feBXVJUEq8AACAASURBVM6AoW9C4wzb+RCRzJTfFnIaWUHPN/aBT64GryGmIsnIigSGc3YW/Zxzoo7k5+IHhlOn1n1drVrZFJl+/eq+rprcf7+NUKhs8mR7rffdN9ztV2fLFitYOX9+6utYutQSFuPHW72PuOHDbVrJ7Nl1DjNhq1bZa/nqq3Vbz4wZcMwxqU2B+eQTS1qlWoMjXa691pKUmkaSvJIS+x6qLlFWVmbFNW+9NbwY6tpCNe6SSywZ0Lx53WNKpy1b4Oyz4ZQKdR27dLEkRpcu24qsSj1QtgG+edautxsIAx+H3CaRhiQi9VDj1tDxYJj9R/jodNi6OeqIROqNep/AGDsW/vQnK2SYifr1syHDQZzd7NED7ruv7gcBtXHOdqy//vqn95eUQM+eNp8+CuvXW82HUaOSf+7SpXY5eLCNwth7758+XlxsZ0WXLKl7nIkqLbVh5HUdgVFUZFNJUpkCc9ttNpWmSYbvfw8fDsuWWcFVSdz69fY5q2mETV6eJQTCLOQZT2DsvHPd1lNfO1IWFsIjj8Buu/30/k6dYMIEK46cah2b+so5d6hz7gvn3JfOuaureLyJc+6Z2OOTnXNd0h9lJZtWwLhi+PBEWJ3GbLeIZJ+cPOj/MPT9A8x/Ct49XFNKRBJUrxMY5eU2f/vhhzN3x7Z1azvwP/TQuq/r66/Tk6iJT9OoeEbf+21ncqPSurUdACRbU+Tdd234/FNP2e3KrSTBDqy+/BKGDatzmAmLHzDWdUpQXTp1OGcFUjNdVZ9Jqd3WrXDvvVYwsiZhdyKJJzAKCuq2nnXr4Nhjo6nDk6rvvrPpd9VNT2vTxqaAde1q/9MmTEhvfFFwzuUCDwGHAb2Ak5xzlUvJng384L3fFfgL8Mf0RlnJuq/hrUGw8mMY/Cy0SkPlWxHJbs5B7+tgv8dh6QSYflnUEYnUC/U6gfHMMzZ8/rbbwmkrGqSysrrXVxgwwIo+hq1nTzszWPGAeNMmOPVUm6oQpaIim8qS6Gv56qs2PLuwMLHkRHl5+qYplJbatKAgEgjFxZaA+eabxJ/zxRfWPnbu3LpvP2wFBZa8UjvV5LRsadMuapv21aePjcQJq7bEggV2oF7XqR/NmtnfdBBT8tLl0Uftu3vx4sSWHTIE/vKX0MOKWhHwpfd+nvd+M/AfoHKa7Wjgidj154DhzkV0qmLlx9b6cNMyGPY2FB4fSRgikqW6ngHD3oI974o6EpF6od4mMDZvhuuvhz33hBNOiDqamj3/vB2oLlyY+jqWLLEh9L17BxdXdZyzA+J33tl2MJ+fD3/+c+1ncsNWVGS1KhJ5LZ95xhIuvXvbWc3a2utOmmTdSCZNCibW2sRb4gaxS15cbJfJnL394ANrHxtVa9xkDR9uv9+WLVFHUn9MnmwjAGrTp499DmbNCieOk0+274+6ysmxZFZ96UTivY38GjIEdtyx9uV//Ws4/ni49FK45Zb687eZgp2AbyvcXhi7r8plvPdlwGogmhLSqz6F3Hw4+ENoPziSEEQky3UYagU+t26G94+Hpe9FHZFIxqq3CYzHHoN58+D22zO/vWJhIfz4Y93a5QU13SBRxx9vP/EzsosWZUadkfgUltqmkXz+uR00DRxoiZhEOqd0726tYtM1TaFnz2CmFgH06mX1IU47LfHnlJTYtJzaulNkiquusvolmT7aKpOceKKNwKhNv35WILhVq3DiGDzYCi0HobAwuZFGUZo2zT6zJ5+c2PKNG8PTT1si4+ab4fLLszqJEQjn3LnOuanOuanLli0LZyNdz4AjZkGrnuGsX0QkbvMKWD0Lxh0MC/4bdTQiGSnDD/2rt+eecNFFcPjhUUdSu759bcc02doNFcUTGOnqFjFypNUW2W47u33iidvO8kdpr71s5EBt7/vuu8N//gNvvJF40dE2bWCffdI3TeF//geuuy6YdTkHe+yR3GiOyZOtwGymJwDjCgsTO4stZulS69iTSN2aggIrEFy5yGRQJkzYVki3rgoL688IjFGj7Lv/F79I/Dl5eZagv+giePDB8EbFRGwRULEiSufYfVUu45zLA1oBKyqvyHv/iPe+n/e+X7t27UIKF8irZ61vRKR+atrJRnu16Q8fnACfZ/+cQpFk1ZNDl58bNMjafWZq8c6KmjSxrhd1TWB06ABh7p9VVl5u8+LLyuDjj+3gPmqNG8P++0PTpj9/zHu44w6YONFu//KXNmc+GcOHw0cfhVcLIC6IrjSVzZtnrRo/+6z2ZdevtxEbAwYEH0eYnn8errkm6ijqh/j3TaKFdzdvts9Q0FavtikU//53MOvr08fqxmR6S13v4bXXLNm6/fbJPTcnB/76VxvBEZ82mGUjMaYA3Z1zuzjnGgMnAmMqLTMGOCN2/XhgnPdZ9iqIiFSlyQ4wdCwUHAvTLoVPb486IpGMUu8SGD/8YMNqgzqbly5FRVZ4LtUD13POsTOk6XTllTbiY/p02LAh2g4kFX3yiY1cqPhaem+fi+uus5EXqSouthoL779f9zhrcvfdNppgw4bg1tmoEfzznzbqpDbffWdTR+pbAuPjj+Gee2DNmqgjyXwlJZCbm3ji8YIL7PMQ9CFifLREUO2fL7/ckoyZPnLIOUtAPPhg6s/fYw+7/uST1n1l48bg4otSrKbFb4E3gc+AZ733s5xztzrnRsYWewxo45z7ErgU+FmrVRGRrJXXFPZ/FnpdBZ1H1r68SAOS4buAP3fPPVYM7vvvo44kOcceawmBVHdABw2yaRzpdMABVrvj/vvtdqYc7JaW2kiL+EiDrVvh3HPtc/G739Ut0TN4MFx2WXAHW9UpLbXRJFWNJElVQQH06JHYFJju3a1OyJFHBrf9dCgutvf7PdW2qtXkyXb2PtHOH717w/LlVjA4SEEnMOqTpk1hp8qlKVOwfj2MGQNHHGGtZLOB9/41730P73037/3tsftu9N6PiV3f6L3/pfd+V+99kfc+hPFBIiIZLCcX9roLWscqbX/xIGxaGXVUIpFLOIHhnMt1zk13zr0SZkA1WbzYDk5POil9tSCCMnQo3Hhjam0Ely+3s+pr1wYfV02GDLGznE8+CTvsAF27pnf71YmPBJk82UZLnHqqtR+8/nr7fNTlzGzTpnDvvVYUM0zxDiRBKy7O7k4dgwZZRxy1U63dww/DP/6R+PLx79R4vZ2gBJ3A+O47Kzr64ovBrC8MGzdaAeExlSdFpOi882wKzoQJ9je+UvuvIiINy9o5MP0yGLs/rJsfdTQikUrmUO9ibKhnZP7wBzswu/XWKKNI3apVdtY7WRMmwGGHwRdfBB9TTVq1siKPubnw0EOZU2+ke3frnlFSYjGVlcEf/wi33RZMjFu2WKHQVavqvq6qbN5sn4OwEhjr19fe8Wa//eDOO4Pfftjy821kULo6xdRnXbsmN2oq/nkMI4HRqBF07BjM+lq1sqlE6f4+TMbrr1s75iZNglvnqafCc8/ZlL4hQ2x0nIiINBAtd4NhY2HD9/DWQFg5LeqIRCKTUALDOdcZOAJ4NNxwqvfVV/DII/Cb30C3blFFUTcnnGCjR5I1c6aNKgh7VEBV4p1HMqnbS/y1GD3aKvY/84xNzwnK9Ol2kJxILYlUfP65JV3CSGAMGWK1LWo6Q7tsmSU48vKC3346jBhhiYyw6gGsW1d/ulxU56OP4O9/T+41atfOCgUHncA480wrvhpUzYrmza1jUCa3Uh01Ctq3t6LAQTrmGHjlFfjVr5IvUCwiIvVc+wNhxIeQ0xjePhC+ez3qiEQikegu5X3AlUC1dd/D7sXeqJEd/N9wQ+CrTpuiIjs4SPbMWWmpHZRGscN6xhm2w5yfn/5t1+SII6yQa1lZ8MX89t3XzvKGNU2heXP4/e/DqSmy/fYwd661wa3OlCl2mSk1TZJ12WX2O4TxmVy0yP5Od9vNOkjUV//5j71OySap/vpXSxIHqUcPOOqoYNeZya1UV6+Gl1+2hHUYScKDD7bpciIi0gC16gUjPoKWu8PWLKnsLJKkWg/9nHNHAku99x/XtFzYvdgLC20OcKdOga86bYqKrADh9OnJPS+segmJ6N4dDj3UCk5mkiuvhG+/DecAITfXapa8/XY4rQu7dYO//CXcmiLl5dV3vCkpsaRPJrTFTUV8mlDQbTS//tpG3nz7rSUMjz4a3nor2G2kS0mJJeKS/fs44QSrMxKk//43sda+ycjkBMaLL8KmTXDyyVFHIiIiWanZjjBisrVZBVg5Pet6bYvUJJFz1/sDI51z84H/AMOcc0+GGlWW6t/fLmurT1DR+vU2fSaqBEamyssLprp/dYqLbYj6vBDq3s+fbwc4YZk1y+oNVDcFZvJka8/YokV4MYTtD3+Anj2D/X+dl2e1VcaNsxoo55yTOa2Dk7F5syVJUxlhs3at1W9YvjyYWMrKrHvSqFHBrC/uwAMtQZOJdt4Zzj67/o5wEhGReiAn1y5/mAlv9ofJZ0N5llZwF6mk1gSG9/4a731n730X4ERgnPf+1NAjy0IdO9qZw5KSxJ+Tnw+ffGLzyCV94rU/wphGcsABdnAclm7d7EC0utgHDYLTTgtv++nQti3MmWPTZerqyy9ttEpBgRWH7N/fphA9/LAlNDZssFEE9cXMmZYgSyX5MmeO1buZMCGYWL77zkbKBN1C9dJL4fHHg11nUIYOta5ImVL0WEREsljrPrDH9TDvX/DukbBlTdQRiYQu4OoBUptHHklu/nJurrU3DPoAQGrWowe8/37wiaMffoCFC6F372DXW1F+PgweXH0C44Yb4Iorwtt+OgSVYPrgAzuTf9NNdruqg84HHrCiibfdVj9GaMana6SSwOjVy6YXzZwZTCxBt1DNdFOnZu7UFhERyULOQd+bYcBjsGQcjB0MPy6MOiqRUCWVwPDev+u9PzKsYBqCQw5J7uD1pZfgqafCi0eq5pwlAYKu/fHpp3YZ9pSg4mLb1vff//T+H34Id/pKunTrZkP165LAePNN62jSsSOcd171y116KZx+Otx4o9VeyfQkxmmnWReaVJIGTZta/Y+gOpGElcD49FPrmPLqq8Gut64uvNA6hYiIiKRVt7NgyKuwbj5882zU0YiESiMw0uzHH20++KxZiS3/4INw333hxiRV++47O2CdPTu4dcYPDNORwACr51DRLbfYAXvQBTDTzTlrUTl+fPXFSmvywgvWGSM+0qagoPpl8/LgX/+C3/4W7r0Xzj8/tW2m0/bbpz6FoU+f4BMYNb2+qWjTxroQZVIr1S+/tOmBKt4pIiKR6DQCjvgUdr/Ebm9ZG208IiFRAiPNysvtDOmzCSZHS0ttComkn3Nwzz3BnuUtLbX6Cp07B7fOquy1l00T6dXrp/eXlNgIoKBbz0bh5JNtdMTGJLuIrVhh7YH79bMESPv2tT8nJwfuvx+uvRaef97arWai1avhyCMtKZOqvn2tcPD69XWP5ze/gUmTgi8Y26GDtdbOpOkao0bZd8aJJ0YdiYiINFjNC+2f0dov4eVdYe7fo45IJHBZcBhTv7RoYR0gEinkuWSJnWVUB5JodOpk71WQhTx//Wt46KHwC/zl5sLdd1siI27LFpg2rX521qjK8OFWz6N58+Se16aNTR956y0bqZAo5+D22236QmGhTSXZvDm5bYdt6lRLuG3YkPo6zjzTCgfn59c9njZtwunGkZNjozoyJYHhvSUwDjoo/OSkiIhIrfI7wg79Ycr5MP1K8PV86K1IBUpgRKCoyBIYtc2lT9d0A6ne8OF2NjvZs/zVGTAATjklmHXVpqwMPvrIEmFgn6dNm7KrvePatfY7JuKPf4T/+R+7PmhQ6qMCOnSwyxtvhMMOg3XrUltPGOKJ0X79Ul9HQYGNwsjNrXs8//gHvPtu3ddTlZ13zpwExldf2RQSTR8REZGM0KgFHPgSdD8fPrsHPjwRyupwdkMkgyiBEYEBA6zI3rx5NS8XbxGpBEZ0iovtbHaiB8k1+eEHeP11WJOmDldff20H6i+8YLcnT7bLbBmBAXDzzda2sqYRB97b1I+rr7ZkVFBFOLt3t4Pzgw+29zYTlJRYXDvsULf1PPUUvPhi3eO56qptn7+gHXusFWHNBLvuatOKTjop6khERERicvKg30Ow972w4DmYfWfUEYkEQgmMCMQPIKdNq3m588+HZcsSm6Mv4TjoIGjXzgp61tXEiXD44cEVSKzNrrvaVIf4FJiDDoI//9nOXGeL4mIbVfLhh1U/Xl4OF10Ed95pnUYefzy46Tunnw7//S98/LElUZYuDWa9dVFSEswIm7/+1QoI18Xq1fYTVgvViy6yUTCZokOH4Gt9iIiI1Ilz0PMyGPom9LrG7sv0dmoitVACIwK9e8O338Lxx9e+bNu24ccj1WvZ0qZgBDHtY+ZMu0ymjW5dOGcH+OPGWdeMXr3gkkvCr7+RTgccYF1CqqpT4j2cdZbVHLniCnj44eCLlx53HLz8MsyZA8OGWZ2RqKxbB127woEH1n1dQXQi+fZbuwwrgQGWvCorC2/9iRg/3t77+fOjjUNERKRanQ6GvKaweTW8MwSWTIg6IpGUKYERgdxcK/RW04Hk1q02n3rs2PTFJVWLv091TViXltrBXKtWdY8pUcXFsGqVTZ14+WW7nk1atICBA+Gdd37+mHOw225w221W/yKsxM0hh1hB0Ouvt84YUWnRwt7n3/ym7uvq08dGf8Xrp6QiXp8irATG+PFWaDSI6V118dRTMGXKttooIiIiGWvLKti4FMYfDF/9M+poRFKiBEZE3n8fTj21+jO2X30FTz8NCxemNy75uXnzYPfdYfTouq2ntDT99UyGDbPLO++EkSOtpWW2KS62aRwrV9rtH3/cNtrlmmsssRD2qJPBg7e1z3z5ZetUkm5BjgiNf07jr2MqvvnGLsNKYHTqZJdRFvLctAmee85G4jRtGl0cIiIiCWm+M4z4CNoPgclnw/QroHxr1FGJJEUJjIgsXmxn7qobpq0OJJmjc2cbDl+XdqqbN8Pnn6f//ezQwc5Q77+/3c6mAp5xZ51lbT9bt7aaC4ccYomb1avTH8umTXDxxVZvZMqU9G778MOtTW8Q4p/TOXNSX8e559rfTceOwcRUWUGBXUaZwHjtNfucqfuIiIjUG41bw5DXoPsF8Nm9MOOaqCMSSYoSGBGJH0jG2x5WVlpq8/V79UpfTFK1xo3tgLSqaQqJysuzoq3nnRdcXInabz+YMcOKeta1O0Um6tzZ2n6uXGmJi0mT4G9/S+9UnbgmTSzR1aqVteB97730bHfrVitk2rx5MOtr396mkFx4YerriE+VC7ruSFzz5tCmTbQJjFGj7LUaPjy6GERERJKWkwf9H4KiR6DHRVFHI5IUJTAisvPO1t0i3tqystJSO+Bs1iy9cUnViottBEWqU3pycuysdpcugYaVkBUrwmtlmSneftv+nmbPtqk+v/pVdLF07WpTxDp3ttEgb74Z/ja/+ALWrg2mA0lcXQsI33OPjTILU2FhtAmMoUOtPW9eXnQxiIiIpGzX30DzAptGMvkcWJ6Fc40l6yiBERHnbBRGdSMw4o9LZoifYU11FMbLL8O//x1cPMlo3NguL700mu2nw9Kl1jHm9ddtKkXUdtrJRl/svju8+mr424t/jwT5nTF2rE2N2Jri1NgHH7TipmE6/3w44YRwt1GTCy6wzj4iIiL12sYlsGQ8vD0E5j8ddTQiNdJ5owgNHAiLFlkhz8rdC557LpqYpGp9+tj0j27dUnv+3/9u9QBOPz3YuBKx3XZQXp5d7VMrO/lkOOmkzPod27a1xEI6OpNMnmzTVnr0CG6dCxdaIeGbb05+vWVl9t0WZgtVCKbjSqrefNO+w1u2jC4GERGRQDTbEUZMhvePg4knw5rPoc9N4HSuWzKPPpURuvZamD492taLkpicHEtCDB6c2vNLS61OQ1Qy6cA+LJn4O8b/tmfOhOXLw9vOoEE2EiDIehPxQp7VFRquyeLFNnIj7ATG5s3WsWnz5nC3U9n339tIn3vuSe92RUREQpPfFoa9DV3PhE9vhamqjSGZSQmMCFV3wPX009Y1IswDHkme91ZrYNmy5J63apWNvlBHmYbp++9h332tlW1YTjsNbrop2HX26mUJkVQSGGG3UI176SWrFfT55+Fup7JnnrFRTeo+IiIiWSW3MQx4DPa+B7qcGnU0IlVSAiNiZ53189aHJSU2MmP77SMJSaqxYIHVNHg6yamBaonbsHXsaAmGhx4Kp+DkypVWAyRozZpZciCVBMayZdaFJOwERnz96S7kOWoU7L039OyZ3u2KiIiEzjnoeTm0G2i3Z90JS96NNCSRipTAiNimTdZBoaLSUthjDzsAkMyx885WA6Py+1WbuXPtUgmMhuvmm20Ezy23BL/uf/8bOnSwkR5BS7WrybHHwsaNsNtuwcZT2c4722U6Exhz51qSWaMvREQk65Wth6//F8YVwxf3286MSMSUwIhYUZEVu1u0aNt9paU62M1UxcXw7rtWpDBRZ51l04E6dw4tLMlwhYXWseLxx4Of7lBSYp+tjh2DXS9YcuT551N7bl5esDU5qtKhg9UZSWcC46237OTUiSemb5siIiKRyGsOh0yCnY6Ejy+GSWfC1o1RRyUNnBIYEYu3PZwyxS6XLrUfJTAyU3ExrF277f1KVJs2mVlkUtLn2muhXTubHhakkpLMa7l8yy1w113hbycnBwoK0pvAuPBCKxyqhKSIiDQIjVrCAS9An1vg6ydsNIYvjzoqacCUwIjY3nvbmcqSEru9bh0cdVTqQ7clXEOHWiIi0Wkk3sOpp8Jrr4Ubl2S+du1g/nxr9xqUFSvsYDqs74sVK6yg8KhRyT3v+efho4/Ciamy22+Hc85Jz7bidtklvdsTERGJlMuBPjfCgWNg1/PUXlUipU9fxPLz4dxzoUcPu921K4wZY20RJfO0aQNvvGHTARLx7bfw1FPbujJIw5afb0mtiRODWV888RnWCIztt4dPPtm2nUQtWBB+Ac+4E0+EYcPSs60bb7QpYZoCLCIiDVLno2CX0+z6/Kfhiwf1T1HSTgmMDPDQQ9s6kWzZEmkokoARIyyRkQh1IJHK4m2Sx42r+7r23hv+9S/o16/u66pKTo4VFE6mE8nq1faTrgTG8uXJ16VJxdat8NhjNipF08FERKTBW/gSfHwRTD5bdTEkrZTAyBDr1sH69XZgc8opUUcjNVmzBu69N7E6GEpgSGXHHWd1G665pu4nLTp2tORnixaBhFalPn2SS2DE61GkK4Hx0ks2teu778Ldznvv2Tb0/Vw3zrkdnHNjnXNzY5dVNgx3zm11zn0S+xmT7jhFRKQW+z8NvW+Aef+CsQfAuq+jjkgaCCUwMsBXX0GrVvDss/Dpp1ZZXzJXXh5cdx0880zty5aW2oFcq1bhxyX1Q36+tVUtKbGD71R5b11Cwi5g2bcvLFsGS5YktvzatZag6dIl1LD+TzxREvbr8NRTlig68shwt9MAXA28473vDrwTu12VDd77vWI/I9MXnoiIJMTlQN9b4YAXYe1ceH0f2BBCT3eRSpTAyAC77ALNm9vQ8g0bdLY+0zVrZiNl3nmn9mW9V0FW+bnTT4fdd7dE2Natqa1j/nw444zwC8QOGAAjR9oIsUQMGmTJhHR97tORwNi0CZ57zkbPNGsW3nYaiKOBJ2LXnwCOiTAWERGpq4Jj4LBpVuSzaaynu+piSIiUwMgAOTnQvz+MHWu3lcDIfMXFVtxw2bKalxs1ykbWiFSUlwd/+AOsWmUjsFIRL6wZdqJgv/1g9GgrMJyJCgrsMswExoYNVmz57LPD20YD0sF7vzh2/XugujGH+c65qc65Sc65apMczrlzY8tNXVbbF7KIiISjRVfY/RK7vmIqvDMU1qexx7k0KLUmMJxzBc658c652c65Wc65i9MRWENTsYtAr17RxSGJGT7cLoMoxCgN03HHwZdfbutAlKySEpuO0rt3sHFVZ/PmxJa77jo72E+X5s2tqG6YCYzWreHuu+HAA8PbRjZxzr3tnPu0ip+jKy7nvfdAdafpdvbe9wNOBu5zznWraiHv/SPe+37e+37t2rUL9hcREZHkbfweVk6D1/eGRa9GHY1koURGYJQBl3nvewH7ARc653SIHbB4AqO4WEOU64N994V27WwYf3VeeMGG0y9eXP0y0nA5Z3/rmzfDzJnJP7+kBPbZBxo1Cj62yk49FQYPTmzZ996DOXPCjaeyJ5+Eiy4KZ91r1sBbb4Xf5SSbeO+Lvfe9q/gZDSxxznUCiF0urWYdi2KX84B3gb3TFL6IiNTFTkfCoR9D80KYcCRMvwrK1WZRglNrAsN7v9h7Py12fS3wGbBT2IE1NPvvD/fdB088UfuyEr28PFi0CK66qvplpkyBqVOhbdv0xSX1z29+Y4nLtWsTf05ZGUyblr46E+3bW4HhROp1LFiQvg4kcYceCj17hrPuF16AQw6xv2UJxBjgjNj1M4DRlRdwzm3vnGsSu94W2B+YnbYIRUSkblp2hxEfwa7nwWd3w1ePRR2RZJGkamA457pgZ0EmV/GY5qHWQfv2cPHFsOOOUUciiartzPfMmVaoMR1nyKX+uvBCq6Xyl78k/py8PBv9c8UVoYX1E336WB2I2up1lJVZYi/dCYy5c63eTNC2boV77rG/YxXjDcxdwMHOublAcew2zrl+zrlHY8v0BKY652YA44G7vPdKYIiI1Ce5+VD0dxjyOnQ7x+7bsibamCQrJJzAcM61AJ4Hfu+9/9mnT/NQpaFZtQoOOAD++c+qHy8tVUFWqV1RkdXDuPdeWL488ee1awedOoUXV0Xxz3Fpac3LLV5sB/3pTmCMGQOnnAKrVwe73iefhNmz4bbbbMqP1J33foX3frj3vntsqsnK2P1TvffnxK5P9N738d7vGbvUqTsRkfpqx0MhJw82LIFXesLHl0DZeo0QeAAAFqRJREFUhqijknosoQSGc64Rlrx4ynv/QrghidQPrVrB11/DG2/8/LFVq+Dbb5XAkMT84Q/WpvTOOxNb/m9/g4ceCjeminr1sgP42hIYGzZY3ZfddktPXHFhtFLdtAluusnq3fziF8GtV0REpEFqtB0UHAdf3Adv9oOV06OOSOqpRLqQOOAx4DPv/Z/DD0mkfnDOaheMGwfl5T99bO1aOPpoa0EpUpuePeGMM+CjjxKrM/Hww/BqGgt7N2sG119f++e5Rw/48EM46KD0xBUXRgJj3jxrY3/nnRp9ISIiUmd5zaDfAzDkDdj8A7w1AGbdBb689ueKVJCXwDL7A6cBpc65T2L3Xeu9fy28sETqh+JiK7w6YwbsXaFGfkEBvPRSdHFJ/XP//ZYoyKklrbx2Lcyalf5RAbfemt7tJSOMBEbPnlZbQzVsREREArTjIXB4KUw5H5ZPBHSWQJKTSBeSD7z3znvf13u/V+xHyQsRYNgwu3z77Z/ev0XdoiRJLVpY8mLlSiuEWZ1p02xkQLqLSpaVwRdf2NSK6lx1FQwdmr6Y4jp0sERDUAmMyZNh40Zo3FijL0RERALXpA3s/wwMftb+0a6bB/Metx0ckVok1YVERH5qxx2tDWbXrj+9f9gwOP74aGKS+mvLFthzT7jkkuqXmRzrAdW/f3piihszxrpxzJxZ/TKzZln9l3TLyYGJE+HSS+u+ruXLYcQIuOiiuq9LREREquGcdSoBmPMQTDoT3v8FbFQ3S6mZEhgidfTIIz8dzu+9FTts3z66mKR+atQIzj4b/vtf+PjjqpdZudKmN7Rtm97YEulEsmBB+juQxPXrZ51Z6uquu2DdupqTSCIiIhKgve+xn+9ehdf6wCIN9pfqKYEhEoAVK2DpUrv+7bfWzlEdSCQVl14KbdrAtddW/fhdd8Gnn6Y3JrBRRs2a1Z7A2Hnn9MVU0cSJ8MADdVvHwoXw4INw+unWeUVERETSwOVAz8vhkCmQ3x4mHAHzR0UdlWQoJTBE6mj9eujUadvBU/wATwkMSUXLlnDddfDWWzB+fNXL1FboMwy5ubDHHtUnMFavtp+oRmC8/jr8/vdWqyNVt9xiI6huvjmwsERERCRR2/e1JMaed8BOI+2+DUtUG0N+QgkMkTpq3tyGr8cLecYP8Hr3ji4mqd/OP9862VQuDvvGGzB4MMyfH0lY9OlTfQ2MjRvhhBN+2o0nnQoLrZ3xd9+l9vyyMvjsM3vtoxpFIiIi0uDlNoE9roFGLWDrJnjnIBh3MKz9MurIJEMk0kZVRGpRXAy3325noPv3h6uvhtato45K6qv8fGvNu/32P73/gw9g0qTo6qucey6MHGmJgsqjQDp0gP/8J5q44KetVFMZBZKXB++/X3OXFREREUmjnEbQ43cw4xqrjdH7RptqkqMe5w2ZRmCIBKC42A7q3n0Xhg+HO++MOiKp7+LJi6++gq1b7XpJCfTta7UoojBgABx9dNVTWMrL0x9PRfGkxTffJP/cefOsho1zljwSERGRDOByoMcFcMRs2PFwmHEtvL4P/FhDv3nJekpgiARgv/3soPKNN+Dzz+s2D18kbto02G03ePJJSxBMmQJFRdHF4z2MGwfTp//8seuus1owUU1TLSiwy1QSGOefb69rPFEkIiIiGaTZTnDA83DgaNhuV8jvaPerNkaDpASGSAAaN7bh84ceai0un3026ogkG+y9N+y1F9x0k3UeWbUq2gSGc3DSSVV3+1iwAJo2tWWi0KKFxXDllck9b/x4K5h60UVWqFREREQyVOeRcOCLkJMLm1bAG/vAN88okdHAKIEhEpCjjrKOJKAOJBIM52w60jffWNLgqKNg0KBoY6qukGeULVTjCgqslkWivIdrroHOneGCC8KLS0RERAK2aYVdfngivDUIlk2MNh5JGyUwRAKyZQtcfrld3223aGOR7FFcDMOGwejR8NRTsPvu0cbTpw/MmvXz6RapFs8M0gsvwK23Jr78mDEwebK1TW3aNLSwREREJGgte8AhU2HAP+HHBTB2f3j/l7B1c9SRSciUwBAJSG4uLF5s1xs3jjYWyR7xURirV8PEDDi50LevtUz96qtt95WVwaJF0Scw3n0X/vSnxJefPNkSQmecEVpIIiIiEpacXOh2Jhw1B/rcCrn5kBvbCd+qtmLZSgkMkYDk5MBjj8GoUVFHItmmqAgWLoRDDok6km3To0pLt923aRP8/vcwZEgkIf2fwkJYs8aSPYm44w6YOjW5aSciIiKSYfKaQ58bYND/2u01c+ClAvjsz0pkZCHttokE6Kyzoo5AslW7dlFHYPr0sW4oe+yx7b7mzeHee6OLKS4+AmTBgprr0GzaZCNIevWy2EVERCSbONhhX5h+Gcx5EPa6Cwp/GV2lcQmURmCIiEjCmjSBfv1+WjNi7dptBWyjVDGBUZNHHoHeva2zi4iIiGSZlt1h6Osw9E1o1AI+PAHeGQK+POrIJABKYIiISFLeew/uumvb7Ycesjam69ZFFxNYAiMnB5Ytq36ZdevgtttsukvFUSQiIiKSZTqNgEOnw4DHoOPB4GKHvoteg/KyaGOTlGkKiYiIJGX8eLjlFvjd76BZMxvxsMMOlsSIUqdOVmC0UaPql7nvPktw3HGHRpKKiIhkvZxc6FZhjvfyyTDhCGi+C/S6ArqeacU/pd7QCAwREUlKnz7gvbVThcxooQqWkKgpebFiBdxzDxxzDOy3X/riEhERkQzRpj8cOBry28OUC2D0LjD7bij7MerIJEFKYIiISFIqdyLJlAQGwP33w1VXVf3YpEmwdSv84Q/pjUlEREQyhMuBziNhxEcwfBy07gOf3QN4e7x8a6ThSe2UwBARkaR07WpFPDMxgfHxx/D001U/dsQRsGiRal+IiIg0eM5Bh6Ew7C04Yra1Yi3fCm/sAxNPgyXv2nBTyThKYIiISFJycy0J8PXXUF5u9TCOOy7qqExhoSUpyirV5po92/ZDWrWKJi4RERHJUPmxXvVl66DtQFg0Bt4ZCi93h1l3wIbvo41PfkIJDBERSdq4cfDii9b14+KLYejQqCMyhYWWVPnuu233zZkDffva9BIRERGRKjVuBUV/h2MXw35PQLOdYMZ1sGKyPb5lHZRviTZGUQJDRESSt912Nvpy+XL44oufj3iISnwqy4IF2+674QbIz4eTToomJhEREalH8ppB19OheAIcOQd2PNzu/+xueKkzTL8CVn8ebYwNmBIYIiKStAUL4NRT4YorYPfdYenSqCMyXbpA586wfr3dnjYNnn0WLr0U2rePNDQRERGpb1p2h5xYi7P2Q6Dt/vD5ffBqT3itL3x6e6ThNUR5UQcgIiL1T34+PPWUXTZqBB07Rh2R2W03+PbbbbevvRbatIHLLosuJhEREckCHYfZz4Yl8M0oWDgGVs3c9vj0K6H1nrDjodCkTXRxZjklMEREJGnt29vP0qWwyy5WCyPTLF0KM2bANdeoeKeIiIgEpGkH2P0S+/Hldt/m1TDvcdi0zFq1th0IOx4Bhb+C7bpFGm5gysugfLNNsYlQBu5yiohIfdCnj11mSgvVuEsvhd/9zhIsX34JF14YdUQiIiKSlVzscLpxKzjuexgxCfa4DrZuhBnXwtL37PE1c+GTa2HB87Du68xv0Vq+Fbassesbl8Nbg+C/LWHu36ONiwQTGM65Q51zXzjnvnTOXR12UCIikvniCYyddoo2jsrmzYN//Qu2bIHmzW2ai2QG59wvnXOznHPlzrl+NSyn/Q4REalfXA60HQB9b4VDp8Kx30Hh8fbY6lL47B744HgY0xWebwPvFFtiAyzhER/NEYU1X8DXT8HHl8LYA+G5VjAtNv+2yQ6Qtx3s+v/s94tYrVNInHO5wEPAwcBCYIpzboz3fnbYwYmISObaZx+7PP74aOOobKedYN06OOYYePXVqKORSj4FjgP+Ud0C2u8QEZGs0LTTtusFx8Gv1sKqT2Hlx/DDNFg5DRq3tsc/+xPMut2e07QT5Mcu974bcvNh7VdQtt7ua9Jm28iPRC370JIUPy6CDd/ZT9NO1jYW4N0jYd2Xtq3t94auZ0GnQ+wxlwPD3qz76xGQRGpgFAFfeu/nATjn/gMcDWhHQkSkATvtNPvJNPERFyeeGG0c8nPe+88AnHM1Lab9DhERyT65+dCmn/1U1nYgdD8fNiy2n9WlsGQc7HufPT77LvjqUbvuci2p0Kg1/CLWBu6DE2HBs7GVxaantOgGI7+066W3wPdj7XqTttB0R8iv0J5twCPQuA206gU5mV0mM5HodgIq1HRnIfCzsSPOuXOBcwEKM21CtIiINBhXXWWtXU85JepIJEUJ7XeA9j1ERCRLxDucVGf3S2xExIbFsHEJ+K2Q23Tb452Pge26w/+dIHA/fbz/38Dl2aiL3CY/X3+HoYH8GukQWHrFe/8I8AhAv379MrwqiYiIZKv27eE3v4k6iobLOfc2UFVj3eu896OD3Jb2PUREpEFo1ct+qtOllmGn2+0abDwRSiSBsQgoqHC7c+w+ERERkZ/w3hfXcRXa7xAREZEqJVL9YwrQ3Tm3i3OuMXAiMCbcsERERKSB0n6HiIiIVKnWBIb3vgz4LfAm8BnwrPd+VtiBiYiISHZxzh3rnFsIDARedc69Gbt/R+fca6D9DhEREaleQjUwvPevAa+FHIuIiIhkMe/9i8CLVdz/HXB4hdva7xAREZGfSbKBrIiIiIiIiIhI+imBISIiIiIiIiIZz3kffNcx59wy4JvAVwxtgeUhrFdqp9c+Gnrdo6HXPRp63aNT+bXf2XvfLqpgUhHivgfos5nJ9N5kLr03mUnvS+Zq6O9NQvseoSQwwuKcm+q97xd1HA2RXvto6HWPhl73aOh1j45e+5rp9clcem8yl96bzKT3JXPpvUmMppCIiIiIiIiISMZTAkNEREREREREMl59S2A8EnUADZhe+2jodY+GXvdo6HWPjl77mun1yVx6bzKX3pvMpPclc+m9SUC9qoEhIiIiIiIiIg1TfRuBISIiIiIiIiINkBIYIiIiIiIiIpLx6k0Cwzl3qHPuC+fcl865q6OOp6Fwzs13zpU65z5xzk2NOp5s5pz7p3NuqXPu0wr37eCcG+ucmxu73D7KGLNRNa/7zc65RbHP/SfOucOjjDEbOecKnHPjnXOznXOznHMXx+7XZz5ENbzu+sxXQfsemUP/IzOXvs8zl3Mu3zlX4pybEXtvbondv4tzbnLsu+0Z51zjqGNtiJxzuc656c65V2K39b4koF4kMJxzucBDwGFAL+Ak51yvaKNqUIZ67/dSX+LQPQ4cWum+q4F3vPfdgXdityVYj/Pz1x3gL7HP/V7e+9fSHFNDUAZc5r3vBewHXBj7XtdnPlzVve6gz/xPaN8j4zyO/kdmKn2fZ65NwDDv/Z7AXsChzrn9gD9i3/m7Aj8AZ0cYY0N2MfBZhdt6XxJQLxIYQBHwpfd+nvd+M/Af4OiIYxIJlPf+PWBlpbuPBp6IXX8COCatQTUA1bzuEjLv/WLv/bTY9bXYP/Cd0Gc+VDW87vJz2vfIIPofmbn0fZ65vFkXu9ko9uOBYcBzsfv13kTAOdcZOAJ4NHbbofclIfUlgbET8G2F2wvRDle6eOAt59zHzrlzow6mAergvV8cu/490CHKYBqY3zrnZsaGLWvYa4icc12AvYHJ6DOfNpVed9BnvjLte2Q+fV9kGH2fZ57YNIVPgKXAWOArYJX3viy2iL7bonEfcCVQHrvdBr0vCakvCQyJzmDv/T7YENoLnXMHRh1QQ+Wt57H6HqfHw0A3bLjlYuBP0YaTvZxzLYDngd9779dUfEyf+fBU8brrMy/1mr4voqfv88zkvd/qvd8L6IyNLNs94pAaPOfckcBS7/3HUcdSH9WXBMYioKDC7c6x+yRk3vtFsculwIvYF5+kzxLnXCeA2OXSiONpELz3S2L/8MuB/0Gf+1A45xphO7tPee9fiN2tz3zIqnrd9ZmvkvY9Mp++LzKEvs8zn/d+FTAeGAi0ds7lxR7Sd1v67Q+MdM7Nx6YnDgP+it6XhNSXBMYUoHusMmtj4ERgTMQxZT3nXHPn3Hbx68AI4NOanyUBGwOcEbt+BjA6wlgajPgOV8yx6HMfuNhcz8eAz7z3f67wkD7zIarudddnvkra98h8+r7IAPo+z1zOuXbOudax602Bg7EaJeOB42OL6b1JM+/9Nd77zt77Ltj/lnHe+1PQ+5IQZyO6Ml+spdt9QC7wT+/97RGHlPWcc12xURcAecAove7hcc49DQwB2gJLgJuAl4BngULgG+BX3nsVnAxQNa/7EGwovQfmA+dVmMcrAXDODQbeB0rZNv/zWmzetD7zIanhdT8JfeZ/RvsemUP/IzOXvs8zl3OuL1YMMhc7cf2s9/7W2D7+f4AdgOnAqd77TdFF2nA554YAl3vvj9T7kph6k8AQERERERERkYarvkwhEREREREREZEGTAkMEREREREREcl4SmCIiIiIiIiISMZTAkNEREREREREMp4SGCIiIiIiIiKS8ZTAEMkSzrmznHNznXObnXOrAl53F+fczbH2TiIiIiLa9xCRtFMCQyQLOOd2BB4BJgLDgOKAN9EFuAnQToSIiIho30NEIpEXdQAiEojuQC7whPf+g6iDSZRzron3flPUcYiIiEjStO8hImmnERgi9Zxz7nHg3djNd5xzPnYfzrlznXMznHMbnXPLnXOPOed2qPT83zrnPnLOrXTOrXLOTXLOHVHh8SHA+NjNsbH1+9j9xK7fXGmdXWL3/7pinM65hc65gc65ic65DcDdFR6vNVYRERGJnvY9RCQqSmCI1H+3Ab+LXb8QGAjc5py7C3gIeBsYCVwBHAq87pzLrfD8LsCjwC+BE4CpwCvOuUNjj0+LrZfYdgbGfqalEGsr4D/A08BhwCiAJGIVERGR6GnfQ0QioSkkIvWc9/4r59xnsZuzvfeTnHNdsH/Et3jvb40v65ybA3wAHAW8FHv+5RUezwHeAXoA5wNveO/XOOdmxxb5zHs/qQ7htgBO9d6PrrDNhGMVERGR6GnfQ0SiohEYItnpYOzv+ynnXF78B5gMrAUOjC/onNvXOfeKc24JUAZsiT1/txDi2gK8kmqsIiIikrG07yEiodMIDJHs1D52+WU1j7cBcM4VYGc9ZgMXAQuwHYnbgJ4hxLXMe7+10n0JxSoiIiIZTfseIhI6JTBEstOK2OUI4IcaHj8Umxv6K+/9wviDzrlmSWxrE9C40n3V/eP3NcRSW6wiIiKSubTvISKhUwJDJDuNBcqBQu/92BqWi+8sbInf4ZzrAewPLKywXLzdWNMq1vEN0LvSfUdUsVxdYxUREZHMpX0PEQmdEhgiWShWXOuPwIPOud2ACcBGoACb9/mo9348Vnm7DPi3c+5PQCfgFmw4Z8UaOXNiy53lnFuJ7VR84b1fi1X2vt45dx0wCTgAOCmEWEVERCRDad9DRNJBRTxFspT3/lrgXKwQ1bPAaOAqbKjk3Ngys4BTgJ2BMcCVwNXAe5XWtQL4LbAn9k9+CrBv7OE7gQdjj7+EzV89LehYRUREJLNp30NEwua8r2pamIiIiIiIiIhI5tAIDBERERERERHJeEpgiIiIiIiIiEjGUwJDRERERERERDKeEhgiIiIiIiIikvGUwBARERERERGRjKcEhoiIiIiIiIhkPCUwRERERERERCTjKYEhIiIiIiIiIhnv/wOCubceGdRxoAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x504 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(ncols=2, nrows=2, figsize=(15,7))\n",
    "ax[0][0].plot(p1_hat, color='blue') \n",
    "ax[0][0].set_title('Block Loading $\\hat{p}_1$', size=18) \n",
    "ax[0][0].set_xlabel('feature', size=16)\n",
    "ax[0][1].plot(p2_hat, color='orange') \n",
    "ax[0][1].set_title('Block Loading $\\hat{p}_2$', size=18) \n",
    "ax[0][1].set_xlabel('feature', size=16)\n",
    "ax[1][0].plot(p1,color='blue',ls='--') \n",
    "ax[1][0].set_title('ground truth: Block Loading $p_1$', size=18) \n",
    "ax[1][0].set_xlabel('feature', size=16)\n",
    "ax[1][1].plot(p2,color='orange',ls='--') \n",
    "ax[1][1].set_title('ground truth: Block Loading $p_2$', size=18)\n",
    "ax[1][1].set_xlabel('feature', size=16)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see above the fitted block loadings $\\hat{\\textbf{p}}_1$ and $\\hat{\\textbf{p}}_2$ describe our original feature loadings perfectly. Depending on the initialization of the analysis the sign of the loading vectors might switch."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Block scores $\\hat{\\textbf{t}}_1$ in LV1 and $\\hat{\\textbf{t}}_2$ in LV2 are highly correlated to ground truth $\\textbf{t}_1$ and $\\textbf{t}_2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "t1_hat = mbpls_model.T_[0][:,0]\n",
    "t2_hat = mbpls_model.T_[1][:,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(ncols=2, figsize=(10,5))\n",
    "ax[0].scatter(t1, t1_hat) \n",
    "ax[0].set_title('Block Scores $\\hat{t}_1$ vs. ground truth $t_1$', fontsize=18)\n",
    "ax[0].set_xlabel('$t_1$', size=15)\n",
    "ax[0].set_ylabel('$\\hat{t}_1$', size=15)\n",
    "ax[1].scatter(t2, t2_hat)\n",
    "ax[1].set_title('Block Scores $\\hat{t}_2$ vs. ground truth $t_2$', fontsize=18)\n",
    "ax[1].set_xlabel('$t_2$', size=15)\n",
    "ax[1].set_ylabel('$\\hat{t}_2$', size=15);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Explained variance and block importance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To show the importances and explained variance the MB-PLS model has detected, we extract these parameters from the fitted model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "variances_x = mbpls_model.explained_var_xblocks_\n",
    "blockimportances = mbpls_model.A_\n",
    "variance_y = mbpls_model.explained_var_y_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>expl. var. X1</th>\n",
       "      <th>expl. var. X2</th>\n",
       "      <th>block importance X1</th>\n",
       "      <th>block importance X2</th>\n",
       "      <th>expl. var. Y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>LV1</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LV2</th>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     expl. var. X1  expl. var. X2  block importance X1  block importance X2  \\\n",
       "LV1            1.0            0.0                  1.0                  0.0   \n",
       "LV2            0.0            1.0                  0.0                  1.0   \n",
       "\n",
       "     expl. var. Y  \n",
       "LV1           0.5  \n",
       "LV2           0.5  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "variances_x = pd.DataFrame(data=variances_x.T, columns=['expl. var. X1',\n",
    "                                'expl. var. X2'], index=['LV1', 'LV2'])\n",
    "variance_y = pd.DataFrame(data=variance_y, columns=['expl. var. Y'], \n",
    "                          index=['LV1', 'LV2'])\n",
    "blockimportances = pd.DataFrame(data=blockimportances.T, columns=[\n",
    "    'block importance X1', 'block importance X2'], index=['LV1', 'LV2'])\n",
    "pd.concat((variances_x, blockimportances, variance_y), axis=1).round(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As shown in the table above, the model perfectly fitted LV1 to describe block $\\textbf{X}_1$. Accordingly, it describes correctly that the block importance for LV1 lies 100 % in the corresponding block $\\textbf{X}_1$. Analogue to this, it correctly detected that block $\\textbf{X}_2$ has 100% importance in LV2."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using the custom plot function\n",
    "However, this can be done much easier with the automatic custom visualization through the build in **plot** method of the **mbpls** package, which shows the main fitted attributes, i.e. scores, loadings, explained variance in $\\textbf{Y}$ and block importances, of the fitted model by calling:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mbpls_model.plot(num_components=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Note: In this artificial case the* **block importance** *of both blocks is 0% for one of the respective components/LVs that they do not contribute to and thus there is only one bar for each block.*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[1] J. A. Westerhuis, T. Kourti, and J. F. MacGregor, “Analysis of multiblock and hierarchical PCA and PLS models,” J. Chemom., vol. 12, no. 5, pp. 301–321, Sep. 1998."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
